{"id":730,"date":"2022-08-30T15:06:13","date_gmt":"2022-08-30T15:06:13","guid":{"rendered":"https:\/\/unknownerror.org\/index.php\/2013\/11\/09\/what-is-the-domain-range-and-the-horizontal-asymptote-of-the-graph-y-4x2-3-collection-of-common-programming-errors\/"},"modified":"2022-08-30T15:06:13","modified_gmt":"2022-08-30T15:06:13","slug":"what-is-the-domain-range-and-the-horizontal-asymptote-of-the-graph-y-4x2-3-collection-of-common-programming-errors","status":"publish","type":"post","link":"https:\/\/unknownerror.org\/index.php\/2022\/08\/30\/what-is-the-domain-range-and-the-horizontal-asymptote-of-the-graph-y-4x2-3-collection-of-common-programming-errors\/","title":{"rendered":"What is the domain, range, and the horizontal asymptote of the graph y = 4^(x+2) &#8211; 3?-Collection of common programming errors"},"content":{"rendered":"<li>Domain: are there any values of x that make y undefined? No, 4 can be raised to any exponent. So the domain is all real numbers. Assuming x must be a real number, the range is: 4^(x + 2) &gt;= 0 4^(x + 2) &#8211; 3 &gt;= -3 y &gt;= -3\n<p>Horizontal asymptote: as x approaches negative infinity, then so does x + 2, so 4^(x + 2) approaches zero, so 4^(x + 2) &#8211; 3 approaches -3, so y approaches -3.<\/p>\n<\/li>\n<p id=\"rop\"><small>Originally posted 2013-11-09 21:44:20. <\/small><\/p>","protected":false},"excerpt":{"rendered":"<p>Domain: are there any values of x that make y undefined? No, 4 can be raised to any exponent. So the domain is all real numbers. Assuming x must be a real number, the range is: 4^(x + 2) &gt;= 0 4^(x + 2) &#8211; 3 &gt;= -3 y &gt;= -3 Horizontal asymptote: as 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":[1],"tags":[],"class_list":["post-730","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts\/730","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/comments?post=730"}],"version-history":[{"count":0,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts\/730\/revisions"}],"wp:attachment":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/media?parent=730"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/categories?post=730"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/tags?post=730"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}