Concept explainers
a.
To find the domain of the function
a.
Answer to Problem 132RE
Domain:
Explanation of Solution
Given information:
Function:
Formula used:
To find the zeros of the
To find the domain of a function,
Check for the values of
For
Find the zeros of the function as follows:
Applying the quadratic formula,
At
So, the domain of the given function is all the real numbers except for
Conclusion:
Therefore, the domain of
b.
To check whether the function
b.
Answer to Problem 132RE
Not continuous at
Explanation of Solution
Given information:
Function:
In subpart (a), it is observed that the function becomes infinity if
Therefore, the function is not continuous at
Conclusion:
Therefore, the function is not continuous at
c.
To find the vertical and horizontal asymptotes of the function
c.
Answer to Problem 132RE
Vertical asymptote:
Horizontal asymptote:
Explanation of Solution
Given information:
Function:
Calculation:
Vertical asymptotes:
To find vertical asymptotes, put denominator of the given function equal to zero.
Applying quadratic formula:
Horizontal asymptotes:
As the degree of numerator is equal to the degree of the denominator, consider the variable with the highest degree in both numerator and denominator.
The horizontal asymptote is:
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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