{"id":305,"date":"2020-03-02T03:09:55","date_gmt":"2020-03-02T03:09:55","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/lilijia\/?p=305"},"modified":"2020-03-02T03:09:55","modified_gmt":"2020-03-02T03:09:55","slug":"sat-math-chapter-15-functions","status":"publish","type":"post","link":"https:\/\/blog.newtonchineseschool.org\/lilijia\/2020\/03\/02\/sat-math-chapter-15-functions\/","title":{"rendered":"SAT-Math Chapter 15:  Functions"},"content":{"rendered":"\n<p><strong>Lesson Review:<\/strong><\/p>\n\n\n\n<p>1. Function (vertical line test)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.1.jpg\" alt=\"\" class=\"wp-image-306\" width=\"601\" height=\"267\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.1.jpg 690w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.1-300x133.jpg 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><\/figure><\/div>\n\n\n\n<p>domain (x), range (y)<\/p>\n\n\n\n<p>vertical asymptotes, horizontal asymptotes<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.2.jpg\" alt=\"\" class=\"wp-image-307\" width=\"263\" height=\"277\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.2.jpg 487w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.2-284x300.jpg 284w\" sizes=\"(max-width: 263px) 100vw, 263px\" \/><\/figure><\/div>\n\n\n\n<p>input (x), output (y)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"345\" height=\"146\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.3.png\" alt=\"\" class=\"wp-image-308\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.3.png 345w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.3-300x127.png 300w\" sizes=\"(max-width: 345px) 100vw, 345px\" \/><\/figure><\/div>\n\n\n\n<p>2. A function is undefined when:<\/p>\n\n\n\n<p>a. the denominator is 0<\/p>\n\n\n\n<p>b. the radicand of an even power radical (e.g: square root) is negative<\/p>\n\n\n\n<p>3. \u00a0Composite function (a function of other functions): such as f(g(x)) : start from the inside and work your way out.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.4.jpg\" alt=\"\" class=\"wp-image-309\" width=\"300\" height=\"225\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.4.jpg 728w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.4-300x225.jpg 300w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<p>4. maximum and minimum value of y (the highest and lowest\npoint in the graph)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"296\" height=\"170\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.5.png\" alt=\"\" class=\"wp-image-310\" \/><\/figure><\/div>\n\n\n\n<p>5. zeros, roots, or solutions of f(x): the x value(s) when\nf(x)=0. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"279\" height=\"181\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/15.6.png\" alt=\"\" class=\"wp-image-311\" \/><\/figure><\/div>\n\n\n\n<p>6. use special points in the graph (vertex, y-intercept,\nx-intercepts)<\/p>\n\n\n\n<p><strong>Homework: <\/strong><\/p>\n\n\n\n<ol><li>Corrections of Chapter 14 Exercise (Page 113-116)<\/li><li>Chapter 15 Exercise (Page 123-127)<\/li><\/ol>\n\n\n\n<p><strong>Other Resources:<\/strong><\/p>\n\n\n\n<ol><li><a href=\"https:\/\/www.khanacademy.org\/math\/algebra\/x2f8bb11595b61c86:functions\/x2f8bb11595b61c86:evaluating-functions\/v\/what-is-a-function\">https:\/\/www.khanacademy.org\/math\/algebra\/x2f8bb11595b61c86:functions\/x2f8bb11595b61c86:evaluating-functions\/v\/what-is-a-function<\/a><\/li><li><a href=\"https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:composite\/x9e81a4f98389efdf:composing\/v\/evaluating-composite-functions\">https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:composite\/x9e81a4f98389efdf:composing\/v\/evaluating-composite-functions<\/a><\/li><\/ol>\n\n\n\n<p>Take care in this\nspecial season and stay safe!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lesson Review: 1. Function (vertical line test) domain (x), range (y) vertical asymptotes, horizontal asymptotes input (x), output (y) 2. A function is undefined when: a. the denominator is 0 b. the radicand of an even power radical (e.g: square root) is negative 3. \u00a0Composite function (a function of other functions): such as f(g(x)) : [&hellip;]<\/p>\n","protected":false},"author":157,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[2],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/305"}],"collection":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/users\/157"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/comments?post=305"}],"version-history":[{"count":1,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/305\/revisions"}],"predecessor-version":[{"id":312,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/305\/revisions\/312"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/media?parent=305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/categories?post=305"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/tags?post=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}