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: 3

Answer

(a) $3$ (b) $20.2$ (c) $x=0$ , $x=3$ (d) $-0.8$ (e) $[-2,4]$ , $[-1,3]$ (f) $[-2,1]$

Work Step by Step

(a) looking at the graph, when $x=1$, $y=f(x) = \bf 3$ (b) looking at the graph, at $x=-1$ the y value is approximately $\bf -0.3$ (c) since $y=f(x)$, when $y=1$, we see that we have two $x$ values $\bf x=0$ , and $\bf x=3$ (d) when $y=0$, $x\approx\bf-0.8$ (e) the domain of $f$ is all valid inputs of $f$ which is $\bf[-2,4]$ the range of $f$ is all outputs of $f$ which is $\bf[-1,3]$ (f) $f$ is increasing when the slope of the function is positive. This happens between $x=-2$ and $x=1$ inclusive. We can say that the interval on which $f$ is increasing is $\bf[-2,1]$.
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