Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 19: 4

Answer

(a) $f(-4)=-2, g(3)=4$ (b) $x=-2$ or $x=2$ (c) $x=-3$ (d) $[0,4]$ (e) $[-4,4]$, $[-2,3]$ (f) $[-4,3]$, $[0.5,4]$

Work Step by Step

(a) by looking at the graphs of f and g $f(-4)=-2, g(3)=4$ (b) by looking at the graphs of f and g when $x=-2$ or $x=2$ => $f(x)=g(x)$ (c) by looking at the graphs of f $f(x) = -1$ when $x=-3$ (d) the function f is decreasing in $[0,4]$ (e) the function f: the domain is $[-4,4]$ the range is $[-2,3]$ (f) the function g: the domain is $[-4,3]$ the range is $[0.5,4]$
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