{"id":72326,"date":"2021-11-08T17:58:23","date_gmt":"2021-11-08T17:58:23","guid":{"rendered":"https:\/\/papersspot.com\/blog\/2021\/11\/08\/how-do-relative-or-local-minimum-points-relative-or-local-maximum-points-and-inflection-points-affect-the-shape-of-the\/"},"modified":"2021-11-08T17:58:23","modified_gmt":"2021-11-08T17:58:23","slug":"how-do-relative-or-local-minimum-points-relative-or-local-maximum-points-and-inflection-points-affect-the-shape-of-the","status":"publish","type":"post","link":"https:\/\/papersspot.com\/blog\/2021\/11\/08\/how-do-relative-or-local-minimum-points-relative-or-local-maximum-points-and-inflection-points-affect-the-shape-of-the\/","title":{"rendered":"How do relative (or local) minimum points, relative (or local) maximum points, and inflection points affect the shape of the"},"content":{"rendered":"<p>How do relative (or local) minimum points, relative (or local) maximum points, and inflection points affect the shape of the graph of a given function? \u00a0That is, why might someone use derivative techniques to find these points before sketching the graph of a function (assuming no graphing calculator)? <\/p>\n<p> How does someone determine the intervals over which a function is increasing or decreasing? \u00a0What has to be true about the slope of the tangent in each situation (increasing vs. decreasing)? <\/p>\n","protected":false},"excerpt":{"rendered":"<p>How do relative (or local) minimum points, relative (or local) maximum points, and inflection points affect the shape of the graph of a given function? \u00a0That is, why might someone use derivative techniques to find these points before sketching the graph of a function (assuming no graphing calculator)? How does someone determine the intervals over [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10],"class_list":["post-72326","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-writing"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/72326","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=72326"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/72326\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=72326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=72326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=72326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}