Example 3: As a function, we have 1x1 = { = * -x for x < 0 for x ≥ 0 F(x) We will ALWAYS rewrite the absolute value using this alternate representation when algebraically simplifying an expression involving absolute value. Rewrite the following function as a piecewise function. Then sketch its graph. = Piecewise definition 3x - 4|x| x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Example 3: As a function, we have
1x1 = { ²x
|x|
(-x for x < 0
for x ≥ 0
We will ALWAYS rewrite the absolute value using this alternate representation when algebraically
simplifying an expression involving absolute value. Rewrite the following function as a piecewise
function. Then sketch its graph.
F(x)=
=
Piecewise definition
3x - 4|x|
X
Transcribed Image Text:Example 3: As a function, we have 1x1 = { ²x |x| (-x for x < 0 for x ≥ 0 We will ALWAYS rewrite the absolute value using this alternate representation when algebraically simplifying an expression involving absolute value. Rewrite the following function as a piecewise function. Then sketch its graph. F(x)= = Piecewise definition 3x - 4|x| X
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Step 1

Given :

Calculus homework question answer, step 1, image 1

 

for x > 0 , |x|=x

Calculus homework question answer, step 1, image 2

 

for x < 0 , |x|=-x

Calculus homework question answer, step 1, image 3

 

for x = 0 

Calculus homework question answer, step 1, image 4

 

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