   Chapter 1.1, Problem 45E ### 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.45. f(x) = x + |x|

To determine

To sketch: The graph of the function f(x)=x+|x| .

Explanation

Given:

The absolute function f(x)=x+|x| .

Definition used:

An absolute function |x| is defined as follows:

|x|={xif x<0xif x0

Calculation:

Express the given function as piecewise function.

f(x)=x+|x|={x+(x)if x<0x+x   if x0={0if x<02xif x0

The function f(x) is a piecewise function whose expressions are 0 if x<0 and 2x and x0

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