{"id":18191,"date":"2016-10-08T15:26:38","date_gmt":"2016-10-08T15:26:38","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=18191"},"modified":"2016-10-08T15:26:38","modified_gmt":"2016-10-08T15:26:38","slug":"math-what-is-an-odd-function-what-is-an-even-function","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-what-is-an-odd-function-what-is-an-even-function\/","title":{"rendered":"Math: what is an odd function?  What is an even function?"},"content":{"rendered":"<h1>The tutor explains the idea of odd function vs even function.<\/h1>\n<p>An odd function is one that gives the opposite output for -x as for x:<\/p>\n<p>f(x) odd, then f(-x) = -f(x)<\/p>\n<p>x<sup>3<\/sup> and sinx are both odd functions:<\/p>\n<p>(-2)<sup>3<\/sup>=-8, while (2)<sup>3<\/sup>=8<\/p>\n<p>sin(-1.2) = -0.932, sin(1.2) = 0.932<\/p>\n<p>An even function gives the same output for -x as for x:<\/p>\n<p>f(x) even, then f(-x) = f(x)<\/p>\n<p>x<sup>2<\/sup> and cosx are even functions:<\/p>\n<p>(-5)<sup>2<\/sup>=25=(5)<sup>2<\/sup><\/p>\n<p>cos(1.3)=0.267=cos(-1.3)<\/p>\n<p>Most functions are neither odd nor even.<\/p>\n<p>Source:<\/p>\n<p>Larson, Roland E. and Robert Hostetler.  <u>Calculus<\/u>, 3rd ed.  Toronto:  DC Heath and Company, 1989.<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor explains the idea of odd function vs even function. An odd function is one that gives the opposite output for -x as for x: f(x) odd, then f(-x) = -f(x) x3 and sinx are both odd functions: (-2)3=-8, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-what-is-an-odd-function-what-is-an-even-function\/\"> <span class=\"screen-reader-text\">Math: what is an odd function?  What is an even function?<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[234,3],"tags":[1956,1957],"class_list":["post-18191","post","type-post","status-publish","format-standard","hentry","category-calculus","category-math","tag-even-function","tag-odd-function"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/18191","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=18191"}],"version-history":[{"count":4,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/18191\/revisions"}],"predecessor-version":[{"id":18195,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/18191\/revisions\/18195"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=18191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=18191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=18191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}