Match each function name with its equation.<\/p>\n\n\n\n
a. Reciprocal Squared
b. Absolute Value
c. Linear
d. Reciprocal
e. Cubic
f. Cube root
g. Square Root
h. Quadratic<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n Let’s match each function name with its corresponding equation and then explain each:<\/p>\n\n\n\n a. Reciprocal Squared<\/strong> \u2192 f(x)=1x2f(x) = \\frac{1}{x^2} In mathematics, functions are rules that assign each input exactly one output. Different types of functions have unique shapes, domains, and ranges.<\/p>\n\n\n\n 1. Linear Function (f(x)=xf(x) = x)<\/strong>: 2. Absolute Value (f(x)=\u2223x\u2223f(x) = |x|)<\/strong>: 3. Quadratic (f(x)=x2f(x) = x^2)<\/strong>: 4. Cubic (f(x)=x3f(x) = x^3)<\/strong>: 5. Square Root (f(x)=xf(x) = \\sqrt{x})<\/strong>: 6. Cube Root (f(x)=x3f(x) = \\sqrt[3]{x})<\/strong>: 7. Reciprocal (f(x)=1xf(x) = \\frac{1}{x})<\/strong>: 8. Reciprocal Squared (f(x)=1x2f(x) = \\frac{1}{x^2})<\/strong>: Understanding the shapes and behaviors of these functions is crucial for analyzing graphs, solving equations, and applying math to real-world problems.<\/p>\n","protected":false},"excerpt":{"rendered":" Match each function name with its equation. a. Reciprocal Squaredb. Absolute Valuec. Lineard. Reciprocale. Cubicf. Cube rootg. Square Rooth. Quadratic The Correct Answer and Explanation is: Let’s match each function name with its corresponding equation and then explain each: Matching: a. Reciprocal Squared \u2192 f(x)=1x2f(x) = \\frac{1}{x^2}b. Absolute Value \u2192 f(x)=\u2223x\u2223f(x) = |x|c. Linear \u2192 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-216451","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216451","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=216451"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216451\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=216451"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=216451"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=216451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nMatching:<\/strong><\/h3>\n\n\n\n
b. Absolute Value<\/strong> \u2192 f(x)=\u2223x\u2223f(x) = |x|
c. Linear<\/strong> \u2192 f(x)=xf(x) = x
d. Reciprocal<\/strong> \u2192 f(x)=1xf(x) = \\frac{1}{x}
e. Cubic<\/strong> \u2192 f(x)=x3f(x) = x^3
f. Cube root<\/strong> \u2192 f(x)=x3f(x) = \\sqrt[3]{x}
g. Square Root<\/strong> \u2192 f(x)=xf(x) = \\sqrt{x}
h. Quadratic<\/strong> \u2192 f(x)=x2f(x) = x^2<\/p>\n\n\n\n
\n\n\n\nExplanation (300+ words):<\/strong><\/h3>\n\n\n\n
This is the simplest type of function. It graphs as a straight line passing through the origin. The output changes at a constant rate with respect to the input.<\/p>\n\n\n\n
This function returns the non-negative value of xx. It forms a \u201cV\u201d shape on the graph. It\u2019s often used when only the magnitude (not direction) matters.<\/p>\n\n\n\n
This is a polynomial function that graphs as a parabola opening upward. It has a minimum point (vertex) at the origin and is symmetric.<\/p>\n\n\n\n
This function graphs an \u201cS\u201d shaped curve. Unlike quadratic functions, cubics can change direction and include both positive and negative output values.<\/p>\n\n\n\n
This function only accepts non-negative values because you can’t take the square root of a negative number (in real numbers). It increases slowly as xx increases.<\/p>\n\n\n\n
Unlike square roots, cube roots are defined for all real numbers. This function passes through the origin and also forms an \u201cS\u201d curve but more stretched.<\/p>\n\n\n\n
This function is undefined at x=0x = 0 and creates a hyperbola. As xx increases or decreases, the value approaches zero but never touches it (asymptotic behavior).<\/p>\n\n\n\n
This function is also undefined at x=0x = 0, but unlike the reciprocal, the values are always positive and the graph has two branches going to positive infinity near the y-axis.<\/p>\n\n\n\n