PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
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Chapter 5.4, Problem 98E
To determine

To find:The x− and y− intercept of the graph of the equation y=x2−3x−40 .

Expert Solution & Answer
Check Mark

Answer to Problem 98E

The x− intercept and y− intercept of the graph of the equation y=x2−3x−40 are at (8,0),(−5,0) , and (0,−40) respectively.

Explanation of Solution

Given information:

The given equation is y=x2−3x−40 .

Calculation:

The given equation is.

  y=x2−3x−40 … (1)

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

  x2−3x−40=0x2−8x+5x−40=0x(x−8)+5(x−8)=0(x+5)(x−8)=0

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

  x+5=0x=−5x−8=0x=8

So, the x− intercepts of the graph of the equation (1) is (8,0),(−5,0) .

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

  y=(0)2−3(0)−40y=−40

So, the y− intercept of the graph of the equation (1) is (0,−40) .

Draw the graph for the equation y=x2−3x−40 using graphical utility. The intercepts made by the graph of the equation (1) shown in figure (1) using graphing utility.

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.4, Problem 98E

Figure (1)

Therefore, the x− intercept and y− intercept of the graph of the equation y=x2−3x−40 are at (8,0),(−5,0) , and (0,−40) respectively.

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Chapter 5 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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