College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Chapter 2 Review - Concept Check - Page 266: 12

Answer

See both explanations

Work Step by Step

a) an even function is a function for all values of the input $f(-x) =f(x)$ . Thus the graph is symmetric about the y axis and some examples are $y=x^2-2$ and $y= |2x|-3$. b) An odd function is a function for all inputs $f(-x) = -f(x)$. The graph is symmetric with respect to the origin and some examples include $y=x$ and $\sqrt[5] x$
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