   Chapter 1.1, Problem 49E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Sketch the graph of the function.49. f ( x ) = { | x | if  | x | ≤ 1 1 if  | x | > 1

To determine

To sketch: The graph of the function f(x)={|x| if |x|11 if |x|>1 .

Explanation

Definition used:

An absolute function |x| is defined as follows:

|x|={xif x<0xif x0

Calculation:

The expression f(x)=|x| if |x|1 is defined as follows:

|x|={xif 1x<0xif 0x1 (1)

The expression f(x)=1 if |x|>1 is defined as follows:

1={1if x<11if x>1 (2)

Combine the (1) and (2) and obtain the required piecewise function.

f(x)={1if x<1xif 1x<0xif 0x11if x>1

Thus, the functions are y=1,y=x and y=x

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 