Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 20: 56

Answer

See solution and image.

Work Step by Step

The numerator is the absolute value of $x$, while the denominator is simply $x$. Let us consider this in three separate sections. When $x>0$, the value of $|x|=x$. Therefore, we have $f(x)=1$. When $x=0$, the denominator is 0, which means the value is undefined. When $x<0$, the value of $|x|=-x$. Therefore, we have $f(x)=-1$. Look at the graph of the function to see how we can combine these three parts to sketch the graph.
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