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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Question
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Chapter 5.4, Problem 100E
To determine

To find:The x− and y− intercept of the graph of the equation y=2xx+7 .

Expert Solution & Answer
Check Mark

Answer to Problem 100E

The x− intercept and y− intercept of the graph of the equation y=2xx+7 are at (−7,0), (0,0) , and (0,0) respectively.

Explanation of Solution

Given information:

The given equation is y=2xx+7 .

Calculation:

The given equation is.

  y=2xx+7 … (1)

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

  2xx+7=0

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

  2x=0x=0x+7=0x=−7

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

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

  y=2(0)0+7y=0

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

Draw the graph for the equation y=2xx+7 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 100E

Figure (1)

Therefore, the x− intercept and y− intercept of the graph of the equation y=2xx+7 are at (−7,0), (0,0) , and (0,0) respectively.

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Chapter 5.4, Problem 99E
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Chapter 5.5, Problem 1E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

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