Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 11: 74

Answer

The matching will be as follows: (a)-(v) (b)-(iv) (c)-(iii) (d)-(ii) (e)-(i)

Work Step by Step

The function $f(x)$ can be transformed as follows: (a) The function $f(x+c)$ is horizontal translation by $|c|$ units, if $c>0$ then, the translation is to the left while if $c<0$, then, the translation is to the right. (b) The function $-f(x)$ is the reflection of original function about $\text{x-axis }$. (c) The function $f(x)+c$ is vertical translation by $|c|$ units, if $c>0$, then, the translation is upwards while if $c<0$, then, the translation is downwards.
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