Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Chapter 5.4, Problem 99E
To determine

To find:The x− and y− intercept of the graph of the equation y=|2x−9|−5 .

Expert Solution & Answer
Check Mark

Answer to Problem 99E

The x− intercept and y− intercept of the graph of the equation y=|2x−9|−5 are at (7,0), (2,0) , and (0,4) respectively.

Explanation of Solution

Given information:

The given equation is y=|2x−9|−5 .

Calculation:

The given equation is.

  y=|2x−9|−5 … (1)

Calculate the x− intercept of the graph of the equation (1), plug in at y=0 .

  |2x−9|−5=0|2x−9|=5

The product of any two factor is zero, then at least one of them must be zero.

  2x−9=52x=5+92x=14x=7

  2x−9=−52x−9=−5+92x=4x=2

So, the x− intercept of the graph of the equation (1) is (7,0), (2,0) .

Calculate the y− intercepts of the graph of the equation (1), plug in at x=0 .

  y=|2x−9|−5=|−9|−5=9−5=4

So, the y− intercepts of the graph of the equation (1) is (0,4) .

Draw the graph for the equation y=|2x−9|−5 using graphical utility. The intercepts made by the graph of the equation (1) shown in figure (1) using graphing utility.

  Precalculus with Limits: A Graphing Approach, Chapter 5.4, Problem 99E

Figure (1)

Therefore, the x− intercept and y− intercept of the graph of the equation y=|2x−9|−5 are at (7,0), (2,0) , and (0,4) respectively.

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Chapter 5.4, Problem 98E
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Chapter 5.4, Problem 100E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

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