{"id":16254,"date":"2024-12-25T18:40:21","date_gmt":"2024-12-25T18:40:21","guid":{"rendered":"https:\/\/ibmaths.com\/?page_id=16254"},"modified":"2025-02-21T10:07:58","modified_gmt":"2025-02-21T09:07:58","slug":"hlaa2","status":"publish","type":"page","link":"https:\/\/ibmaths.com\/ibaasl\/hlaa2\/","title":{"rendered":"SLAA2"},"content":{"rendered":"<div class=\"brz-root__container brz-reset-all brz brz-root__container-page\">\n<section id=\"0d7f2ceccf4dbf4532ac_s5qJ62HogyB_\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-kx9ycm\" data-brz-custom-id=\"yZY85s9cI1X6\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"q6JA6u_bnDs5\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-text-lg-justify brz-lh-lg-1_5 brz-ls-lg-1 brz-fw-lg-400 brz-fss-lg-px brz-fs-lg-46 brz-ft-adobe brz-ff-fields brz-fsft-lg-0 brz-fwdth-lg-100 brz-vfw-lg-400 brz-tp-lg-abovetitle brz-css-xKt2l\" data-generated-css=\"brz-css-oxO9b\" data-uniq-id=\"b1RgZ\"><strong class=\"brz-bold-true brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">02 AA SL &#8211; Functions<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div data-brz-data-selected=\"%22%5B%5C%22h1%5C%22%2C%5C%22h2%5C%22%2C%5C%22h3%5C%22%2C%5C%22h4%5C%22%2C%5C%22h5%5C%22%2C%5C%22h6%5C%22%5D%22\" data-brz-data-minimized=\"off\" data-brz-data-minimized-tablet=\"off\" data-brz-data-minimized-mobile=\"off\" data-brz-data-include=\"\" data-brz-data-exclude=\"\" data-brz-data-marker=\"circle\" data-brz-data-anim-duration=\"0.3\" class=\"brz-toc brz-toc--opened brz-css-1qthxrf brz-css-14fuag8\">\n<div class=\"brz-toc-header\"><span data-brz-translate-text=\"1\" class=\"brz-toc-title brz-span brz-text__editor\">Table of Contents<\/span><\/div>\n<div class=\"brz-toc-body brz-toc-text-underline\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"d91f23d7c4527d527307_kxsO_G6eyjHI\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-17w7fbt\" data-brz-custom-id=\"dgZRNcWJZrwe\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"pTYwklOlVAFz\">\n<div data-brz-translate-text=\"1\">\n<h4 class=\"brz-tp-lg-heading4 brz-css-hER42\" data-generated-css=\"brz-css-kTzSI\" data-uniq-id=\"yy0fZ\"><span class=\"brz-cp-color5\" style=\"color: rgba(var(--brz-global-color5),1);\">Notation<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"cbf221fd80244b6f2f0d_eC3TOpWiwf0p\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-8c1gr4\" data-brz-custom-id=\"hxJh0icMa2qz\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"s9xgJm1gfacv\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"wGQBZWrLiW10\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"gMApaFXo_F5z\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-fsft-lg-0 brz-fwdth-lg-100 brz-vfw-lg-400 brz-lh-lg-1 brz-ls-lg-0 brz-fw-lg-400 brz-fss-lg-px brz-fs-lg-18 brz-ft-adobe brz-ff-fields brz-css-hl_xK\" data-generated-css=\"brz-css-dK5oO\" data-uniq-id=\"qsI2i\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Basic Notation<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"y1UUmbBHzILy\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/yp3f_KK083k?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/yp3f_KK083k?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"yAn930Iq91Jw\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"budbIRmK68ZL\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-rZeZq\" data-uniq-id=\"aVmD6\" data-generated-css=\"brz-css-cNEpy\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Quadratic Discriminant &#8211; Exam Question 4<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"vkk7yOcEB5wL\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/2vqNh9p7XHk?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/2vqNh9p7XHk?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"6c50998d850b624e75d8_a92Un2lynMec\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-htr8sj\" data-brz-custom-id=\"ifTtoj4cLrrv\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"cPTFL5P_Kawq\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"nSW6wieXVRuQ\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"okhuY88A2Lh5\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-fsft-lg-0 brz-fwdth-lg-100 brz-vfw-lg-400 brz-lh-lg-1 brz-ls-lg-0 brz-fw-lg-400 brz-fss-lg-px brz-fs-lg-18 brz-ft-adobe brz-ff-fields brz-css-mjmLD\" data-generated-css=\"brz-css-eGWIX\" data-uniq-id=\"eG1s3\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Vertical line test<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"u4DBaJOictGq\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/6xS_IXX6QmI?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/6xS_IXX6QmI?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"lqOQNLyOMNs5\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"vDxtuD4x1DMW\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-kdbWw\" data-uniq-id=\"nmlDm\" data-generated-css=\"brz-css-juyHM\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Mapping<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"pmh_2eLsoktV\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/9RW3426c1FI?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/9RW3426c1FI?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"6782d620690360f6b212_kA6dNF6CcZbL\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-1ouhpzc\" data-brz-custom-id=\"g2Tewr3EiOXl\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"c_S9sdNYJvbf\">\n<div data-brz-translate-text=\"1\">\n<h4 class=\"brz-tp-lg-heading4 brz-css-scgeT\" data-generated-css=\"brz-css-yudak\" data-uniq-id=\"fvM0N\"><span class=\"brz-cp-color5\" style=\"color: rgba(var(--brz-global-color5),1);\">Algebra of functions<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"631d9ad80114a7a7b9b8_eagvaVTcJQLD\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-hyrjsl\" data-brz-custom-id=\"xE91uDi3UyGO\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"b_kFB3YrNVku\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"nupZAAgmrTrC\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"bOka2KHOs2jF\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-fsft-lg-0 brz-fwdth-lg-100 brz-vfw-lg-400 brz-lh-lg-1 brz-ls-lg-0 brz-fw-lg-400 brz-fss-lg-px brz-fs-lg-18 brz-ft-adobe brz-ff-fields brz-css-oC5di\" data-generated-css=\"brz-css-bmm9m\" data-uniq-id=\"bVhBk\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Composite functions and number<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"wsoO2Qrar92T\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/kXwJWs_xUC0?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/kXwJWs_xUC0?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"fsAFrL5dUQSu\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"r6EnbkcPfDqi\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-qu31L\" data-uniq-id=\"hH5Xf\" data-generated-css=\"brz-css-dDQny\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Composite functions and algebra<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"nEe_bcTzODCC\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/PbQW7voqqqE?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/PbQW7voqqqE?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"d2a9a1a37546e50f66e8_tMQbQcnYOFsK\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-181uz5x\" data-brz-custom-id=\"xPRuPvTSaQDM\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"gnaiejPXCues\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"pFbT46kg4aCl\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"yeuJMPannywH\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-ff-fields brz-ft-adobe brz-fs-lg-18 brz-fss-lg-px brz-fw-lg-400 brz-ls-lg-0 brz-lh-lg-1 brz-vfw-lg-400 brz-fwdth-lg-100 brz-fsft-lg-0 brz-tp-lg-subtitle brz-css-oP2y9\" data-uniq-id=\"n3iIw\" data-generated-css=\"brz-css-ezkl7\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Composite functions question<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"h0x3Hb0CfzbL\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/zeFnvpgST6o?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/zeFnvpgST6o?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"bWx24wHmfB_G\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"dU2e0NbURlT7\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-jjwCG\" data-generated-css=\"brz-css-l_k57\" data-uniq-id=\"rfhlS\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Inverse functions 1<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"mzJBAdTPlFVm\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/uVuKoAmQFEY?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/uVuKoAmQFEY?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"23a23c1f5dddabceb8f3_hkUKdag7MmMg\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-l3wxx5\" data-brz-custom-id=\"hTN5T_PDp57S\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"dzd5PzLN7Gqi\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"xdEfVqFfANhH\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"tzgLDgfrXEGI\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-ff-fields brz-ft-adobe brz-fs-lg-18 brz-fss-lg-px brz-fw-lg-400 brz-ls-lg-0 brz-lh-lg-1 brz-vfw-lg-400 brz-fwdth-lg-100 brz-fsft-lg-0 brz-tp-lg-subtitle brz-css-aEJ4u\" data-uniq-id=\"ivvPh\" data-generated-css=\"brz-css-sVycQ\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Inverse functions 2<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"uAJ4RG3LK2LY\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/4qpYU0XtU38?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/4qpYU0XtU38?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"wzGCx_AYBcDY\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"cvEj0uqrQLV0\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-hTR4y\" data-uniq-id=\"htczR\" data-generated-css=\"brz-css-bX4cd\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Inverse functions 3<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"bS97bw5gYtKu\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/4qpYU0XtU38?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/4qpYU0XtU38?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"551978d2c72fc236f16e_s8u6NRnXyh8Z\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-r7h2vq\" data-brz-custom-id=\"v0vAyxrSrH9c\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"z9gmSsq6yOmS\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"bT58RtBwLqkW\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"uQ1oP9Xo_sUM\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-fsft-lg-0 brz-fwdth-lg-100 brz-vfw-lg-400 brz-lh-lg-1 brz-ls-lg-0 brz-fw-lg-400 brz-fss-lg-px brz-fs-lg-18 brz-ft-adobe brz-ff-fields brz-css-llR0u\" data-generated-css=\"brz-css-acmUw\" data-uniq-id=\"xtayj\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Function with no inverse<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"shnUWlZsh86_\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/aTaMBjyGQfo?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/aTaMBjyGQfo?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"jmaqu_eJjAhe\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"hRQX3LwSFhbr\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-gwg8L\" data-generated-css=\"brz-css-rBx8N\" data-uniq-id=\"cVWA2\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Functions and relationships<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"lK79M8eOIJca\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/UmbZTUvzHdg?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/UmbZTUvzHdg?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"4450c1f9a9c656b5300f_iieae2zbFRf6\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-1hgt9vx\" data-brz-custom-id=\"ygxYidbZoKij\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"gPsosKWSmb4M\">\n<div data-brz-translate-text=\"1\">\n<h4 class=\"brz-tp-lg-heading4 brz-css-neY4N\" data-generated-css=\"brz-css-pdjCl\" data-uniq-id=\"a99nD\"><span class=\"brz-cp-color5\" style=\"color: rgba(var(--brz-global-color5),1);\">Transformation of functions<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section id=\"b74ba0cc817a05a44043_g9qTcNIfYWne\" class=\"brz-section brz-css-5itsqc\">\n<div class=\"brz-section__content brz-section--boxed brz-css-1vm60tv brz-css-1f288oe\" data-brz-custom-id=\"uyOiYrO0kkeE\">\n<div class=\"brz-bg\">\n<div class=\"brz-bg-color\"><\/div>\n<\/div>\n<div class=\"brz-container brz-css-1wrxdyf\">\n<div class=\"brz-row__container brz-css-cxqiyw\" data-brz-custom-id=\"clbMuziGLTcW\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-row brz-css-209hz5 brz-css-1hvfn4y\">\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"pqomHiTmcWfW\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"zVuSFboQmGVL\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-ff-fields brz-ft-adobe brz-fs-lg-18 brz-fss-lg-px brz-fw-lg-400 brz-ls-lg-0 brz-lh-lg-1 brz-vfw-lg-400 brz-fwdth-lg-100 brz-fsft-lg-0 brz-tp-lg-subtitle brz-css-r8T3m\" data-uniq-id=\"tR6XV\" data-generated-css=\"brz-css-vinMv\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Quadratic Discriminant &#8211; Exam Question 3<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"cbjMCL5OTVF6\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/bH29fh0SnOw?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/bH29fh0SnOw?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"brz-columns brz-css-hg55rm\" data-brz-custom-id=\"cEZmeZcHm2qP\">\n<div class=\"brz-bg\"><\/div>\n<div class=\"brz-column__items brz-css-58oqa1\">\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-rich-text brz-rich-text__custom brz-css-1ejo27y\" data-brz-custom-id=\"wa8SDsV8Dxbr\">\n<div data-brz-translate-text=\"1\">\n<p class=\"brz-tp-lg-subtitle brz-css-bzQVo\" data-generated-css=\"brz-css-vI135\" data-uniq-id=\"eajPk\"><strong class=\"brz-cp-color3\" style=\"color: rgb(15, 119, 196);\">Quadratic Discriminant &#8211; Exam Question 4<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"\" class=\"brz-css-14mmsa6 brz-wrapper\">\n<div class=\"brz-video brz-youtube-video brz-video-on-controls-hidden brz-css-727noy\" data-brz-custom-id=\"z3zVCdf3tCPr\">\n<div class=\"brz-video-content\" data-loop=\"false\" data-muted=\"false\" data-autoplay=\"off\">\n<div class=\"video-wrapper brz-image-fix-16-9\">\n<div class=\"brz-video-data brz-hidden\" data-src=\"https:\/\/www.youtube.com\/embed\/24KHtzrI2Fo?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" data-population=\"\" data-controls=\"true\" data-branding=\"true\" data-intro=\"true\" data-start=\"0\" data-end=\"0\" data-loop=\"false\" data-autoplay=\"off\"><\/div>\n<p><iframe loading=\"lazy\" allowfullscreen=\"\" class=\"intrinsic-ignore brz-iframe\" src=\"https:\/\/www.youtube.com\/embed\/24KHtzrI2Fo?autoplay=0&amp;controls=1&amp;start=0&amp;end=0&amp;modestbranding=0&amp;wmode=transparent&amp;enablejsapi=1&amp;loop=0&amp;rel=0&amp;mute=0\" title=\"video\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<p>    <!-- version:1740128878 --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>02 AA SL &#8211; Functions Table of Contents Notation Basic Notation Quadratic Discriminant &#8211; Exam Question 4 Vertical line test Mapping Algebra of functions Composite functions and number Composite functions and algebra Composite functions question Inverse functions 1 Inverse functions<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":16073,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"brizy-blank-template.php","meta":{"footnotes":""},"class_list":["post-16254","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.10 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>SLAA2 - ibmaths<\/title>\n<meta name=\"robots\" content=\"index, follow, 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