{"id":26,"date":"2014-10-15T16:07:44","date_gmt":"2014-10-15T16:07:44","guid":{"rendered":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=26"},"modified":"2014-10-15T16:30:12","modified_gmt":"2014-10-15T16:30:12","slug":"week-1-polynomials-day-3","status":"publish","type":"post","link":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=26","title":{"rendered":"Week 1: Polynomials &#8211; Day 3"},"content":{"rendered":"<p>1. Make a quick sketch of the function: \u00a0 \u00a0 \u00a0\u00a0f(x) = x<sup>2<\/sup> \u2013 4.<\/p>\n<p>2. Make a quick sketch of the function: \u00a0 \u00a0 \u00a0\u00a0g(x) = (4 \u2013 x)<sup>2<\/sup>.<\/p>\n<p>3. Let h(x) = f(x)*g(x) = (x<sup>2<\/sup> \u2013 4)( 4 \u2013 x)<sup>2<\/sup> . What kind of function is h(x)?<\/p>\n<p>4. How many roots does h(x) have?<\/p>\n<p>5. Make a quick sketch of the graph of h(x). Hint: you can find all\u00a0the real roots of h(x). Test the values of points between and around the roots; e.g. h(-3), h(0), h(3), h(5).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Make a quick sketch of the function: \u00a0 \u00a0 \u00a0\u00a0f(x) = x2 \u2013 4. 2. Make a quick sketch of the function: \u00a0 \u00a0 \u00a0\u00a0g(x) = (4 \u2013 x)2. 3. Let h(x) = f(x)*g(x) = (x2 \u2013 4)( 4 \u2013 x)2 . What kind of function is h(x)? 4. How many roots does h(x) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-26","post","type-post","status-publish","format-standard","hentry","category-message"],"_links":{"self":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/26","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=26"}],"version-history":[{"count":4,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/26\/revisions"}],"predecessor-version":[{"id":30,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/26\/revisions\/30"}],"wp:attachment":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}