(a) Answer Explanation Given: f ( x ) = | x + 1 | + | x − 1 | Given: f ( x ) = | x + 1 | + | x − 1 | The graph of the function is (b) To determine The open intervals on which the function is increasing, decreasing and constant. Answer Increasing: ( 1 , ∞ ) Decreasing: ( − ∞ , − 1 ) Constant: ( − 1 , 1 ) Explanation Given: f ( x ) = | x + 1 | + | x − 1 | Given: f ( x ) = | x + 1 | + | x − 1 | The graph of the function is A function f is decreasing on interval when for any x 1 a n d x 2 in the interval x 1 < x 2 implies f ( x 1 ) > f ( x 2 ) . And A function f is increasing on interval when for any x 1 a n d x 2 in the interval x 1 < x 2 implies f ( x 1 ) ≤ f ( x 2 ) . Thus From the graph it is seen that Increasing: ( 1 , ∞ ) Decreasing: ( − ∞ , − 1 ) Constant: ( − 1 , 1 )

Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

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Question

Chapter 1.3, Problem 33E

(a)

To determine

To Graph: The function using the graphing utility.

(a)

Expert Solution

Answer to Problem 33E

Precalculus with Limits: A Graphing Approach, Chapter 1.3, Problem 33E , additional homework tip 1

Explanation of Solution

Given: f(x)=|x+1|+|x−1|

Given: f(x)=|x+1|+|x−1|

The graph of the function is

Precalculus with Limits: A Graphing Approach, Chapter 1.3, Problem 33E , additional homework tip 2

(b)

To determine

The open intervals on which the function is increasing, decreasing and constant.

(b)

Expert Solution

Answer to Problem 33E

Increasing: (1,∞)

Decreasing: (−∞,−1)

Constant: (−1,1)

Explanation of Solution

Given: f(x)=|x+1|+|x−1|

Given: f(x)=|x+1|+|x−1|

The graph of the function is

Precalculus with Limits: A Graphing Approach, Chapter 1.3, Problem 33E , additional homework tip 3

A function f is decreasing on interval when for any x1 and x2 in the interval x1<x2 implies f(x1)>f(x2) .

And

A function f is increasing on interval when for any x1 and x2 in the interval x1<x2 implies f(x1)≤f(x2) .

Thus

From the graph it is seen that

Increasing: (1,∞)

Decreasing: (−∞,−1)

Constant: (−1,1)

Chapter 1.3, Problem 32E

Chapter 1.3, Problem 34E

Chapter 1 Solutions

Precalculus with Limits: A Graphing Approach

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Prob. 87E Ch. 1.6 - Prob. 88E Ch. 1.6 - Prob. 89E Ch. 1.6 - Prob. 90E Ch. 1.6 - Prob. 91E Ch. 1.6 - Prob. 92E Ch. 1.6 - Prob. 93E Ch. 1.6 - Prob. 94E Ch. 1.6 - Prob. 95E Ch. 1.6 - Prob. 96E Ch. 1.6 - Prob. 97E Ch. 1.6 - Prob. 98E Ch. 1.6 - Prob. 99E Ch. 1.6 - Prob. 100E Ch. 1.6 - Prob. 101E Ch. 1.6 - Prob. 102E Ch. 1.6 - Prob. 103E Ch. 1.6 - Prob. 104E Ch. 1.6 - Prob. 105E Ch. 1.6 - Prob. 106E Ch. 1.6 - Prob. 107E Ch. 1.6 - Prob. 108E Ch. 1.6 - Prob. 109E Ch. 1.6 - Prob. 110E Ch. 1.6 - Prob. 111E Ch. 1.6 - Prob. 112E Ch. 1.6 - Prob. 113E Ch. 1.6 - Prob. 114E Ch. 1.6 - Prob. 115E Ch. 1.6 - Prob. 116E Ch. 1.6 - Prob. 117E Ch. 1.6 - Prob. 118E Ch. 1.6 - Prob. 119E Ch. 1.6 - Prob. 120E Ch. 1.6 - Prob. 121E Ch. 1.6 - Prob. 122E Ch. 1.6 - Prob. 123E Ch. 1.6 - Prob. 124E Ch. 1.6 - Prob. 125E Ch. 1.6 - Prob. 126E Ch. 1.6 - Prob. 127E Ch. 1.6 - Prob. 128E Ch. 1.6 - Prob. 129E Ch. 1.6 - Prob. 130E Ch. 1.6 - Prob. 131E Ch. 1.6 - Prob. 132E Ch. 1.6 - Prob. 133E Ch. 1.6 - Prob. 134E Ch. 1.6 - Prob. 135E Ch. 1.6 - Prob. 136E Ch. 1.6 - Prob. 137E Ch. 1.6 - Prob. 138E Ch. 1.6 - Prob. 139E Ch. 1.6 - Prob. 140E Ch. 1.7 - Prob. 1E Ch. 1.7 - Prob. 2E Ch. 1.7 - Prob. 3E Ch. 1.7 - Prob. 4E Ch. 1.7 - Prob. 5E Ch. 1.7 - Prob. 6E Ch. 1.7 - Prob. 7E Ch. 1.7 - Prob. 8E Ch. 1.7 - Prob. 9E Ch. 1.7 - Prob. 10E Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1.7 - Prob. 35E Ch. 1.7 - Prob. 36E Ch. 1.7 - Prob. 37E Ch. 1.7 - Prob. 38E Ch. 1 - Prob. 1RE Ch. 1 - Prob. 2RE Ch. 1 - Prob. 3RE Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Prob. 11RE Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Prob. 16RE Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Prob. 41RE Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - Prob. 48RE Ch. 1 - Prob. 49RE Ch. 1 - Prob. 50RE Ch. 1 - Prob. 51RE Ch. 1 - Prob. 52RE Ch. 1 - Prob. 53RE Ch. 1 - Prob. 54RE Ch. 1 - Prob. 55RE Ch. 1 - Prob. 56RE Ch. 1 - Prob. 57RE Ch. 1 - Prob. 58RE Ch. 1 - Prob. 59RE Ch. 1 - Prob. 60RE Ch. 1 - Prob. 61RE Ch. 1 - Prob. 62RE Ch. 1 - Prob. 63RE Ch. 1 - Prob. 64RE Ch. 1 - Prob. 65RE Ch. 1 - Prob. 66RE Ch. 1 - Prob. 67RE Ch. 1 - Prob. 68RE Ch. 1 - Prob. 69RE Ch. 1 - Prob. 70RE Ch. 1 - Prob. 71RE Ch. 1 - Prob. 72RE Ch. 1 - Prob. 73RE Ch. 1 - Prob. 74RE Ch. 1 - Prob. 75RE Ch. 1 - Prob. 76RE Ch. 1 - Prob. 77RE Ch. 1 - Prob. 78RE Ch. 1 - Prob. 79RE Ch. 1 - Prob. 80RE Ch. 1 - Prob. 81RE Ch. 1 - Prob. 82RE Ch. 1 - Prob. 83RE Ch. 1 - Prob. 84RE Ch. 1 - Prob. 85RE Ch. 1 - Prob. 86RE Ch. 1 - Prob. 87RE Ch. 1 - Prob. 88RE Ch. 1 - Prob. 89RE Ch. 1 - Prob. 90RE Ch. 1 - Prob. 91RE Ch. 1 - Prob. 92RE Ch. 1 - Prob. 93RE Ch. 1 - Prob. 94RE Ch. 1 - Prob. 95RE Ch. 1 - Prob. 96RE Ch. 1 - Prob. 97RE Ch. 1 - Prob. 98RE Ch. 1 - Prob. 99RE Ch. 1 - Prob. 100RE Ch. 1 - Prob. 101RE Ch. 1 - Prob. 102RE Ch. 1 - Prob. 103RE Ch. 1 - Prob. 104RE Ch. 1 - Prob. 105RE Ch. 1 - Prob. 106RE Ch. 1 - Prob. 107RE Ch. 1 - Prob. 108RE Ch. 1 - Prob. 109RE Ch. 1 - Prob. 110RE Ch. 1 - Prob. 111RE Ch. 1 - Prob. 112RE Ch. 1 - Prob. 113RE Ch. 1 - Prob. 114RE Ch. 1 - Prob. 115RE Ch. 1 - Prob. 116RE Ch. 1 - Prob. 117RE Ch. 1 - Prob. 118RE Ch. 1 - Prob. 119RE Ch. 1 - Prob. 120RE Ch. 1 - Prob. 121RE Ch. 1 - Prob. 122RE Ch. 1 - Prob. 123RE Ch. 1 - Prob. 124RE Ch. 1 - Prob. 125RE Ch. 1 - Prob. 126RE Ch. 1 - Prob. 127RE Ch. 1 - Prob. 128RE Ch. 1 - Prob. 129RE Ch. 1 - Prob. 130RE Ch. 1 - Prob. 131RE Ch. 1 - Prob. 132RE Ch. 1 - Prob. 133RE Ch. 1 - Prob. 134RE Ch. 1 - Prob. 135RE Ch. 1 - Prob. 136RE Ch. 1 - Prob. 137RE Ch. 1 - Prob. 138RE Ch. 1 - Prob. 139RE Ch. 1 - Prob. 140RE Ch. 1 - Prob. 141RE Ch. 1 - Prob. 142RE Ch. 1 - Prob. 143RE Ch. 1 - Prob. 144RE Ch. 1 - Prob. 145RE Ch. 1 - Prob. 146RE Ch. 1 - Prob. 147RE Ch. 1 - Prob. 148RE Ch. 1 - Prob. 149RE Ch. 1 - Prob. 150RE Ch. 1 - Prob. 151RE Ch. 1 - Prob. 1CT Ch. 1 - Prob. 2CT Ch. 1 - Prob. 3CT Ch. 1 - Prob. 4CT Ch. 1 - Prob. 5CT Ch. 1 - Prob. 6CT Ch. 1 - Prob. 7CT Ch. 1 - Prob. 8CT Ch. 1 - Prob. 9CT Ch. 1 - Prob. 10CT Ch. 1 - Prob. 11CT Ch. 1 - Prob. 12CT Ch. 1 - Prob. 13CT Ch. 1 - Prob. 14CT Ch. 1 - Prob. 15CT Ch. 1 - Prob. 16CT Ch. 1 - Prob. 17CT Ch. 1 - Prob. 18CT Ch. 1 - Prob. 19CT Ch. 1 - Prob. 20CT

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