Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 6 - Transformations of Functions and Their Graphs - 6.1 Shifts, Reflections, and Symmetry - Exercises and Problems for Section 6.1 - Skill Refresher - Page 240: S9


(a) $f(-x)=3x^4+2x$ (b) $-f(x)=-3x^4+2x$

Work Step by Step

(a) Replace $x$ with $-x$ to get $$f(-x)=3(-x)^4-2(-x)=3(-1)^4x^4+2x=3x^4+2x$$ (b) Multiply $f(x)$ by $-1$ to get $-f(x)=-3x^4+2x$.
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