Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Review - Exercises - Page 233: 73

Answer

a. Neither b. Odd c. Even d. Neither

Work Step by Step

a. $f(x) = 2x^5 - 3x^2 + 2$ $f(-x) = 2(-x)^5 - 3(-x)^2 + 2$ $f(-x) = -2x^5 - 3x^2 + 2$ Neither b. $f(x) = x^3 - x^7$ $f(-x) = (-x)^3 - (-x)^7$ $f(-x) = -x^3 + x^7 = -f(x)$ Odd c. $f(x) = \frac{1-x^2}{1+x^2}$ $f(-x) = \frac{1-(-x)^2}{1+(-x)^2}$ $f(-x) = \frac{1-x^2}{1+x^2} = f(x)$ Even d. $f(x) = \frac{1}{x+2}$ $f(-x) = \frac{1}{-x + 2}$ Neither
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