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

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.
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.
Chapter 5 Solutions
Precalculus with Limits: A Graphing Approach
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