
To discuss: the given polynomial function.

Answer to Problem 28RE
Explanation of Solution
Given:
Calculation:
Let us consider the following polynomial function,
apply
Step
factor the numerator and denominator of the function and find the domain of the function.
Thus, the domain of the function is
Step
Now, write
Since, there are no more common factors between numerator and denominator therefore
Step
The
So,
There is no
Step
Now, test for symmetry if
If
So,
Conclude that, neither
Step
Locate the vertical asymptotes by finding the zeros of the denominator with the rational function in lowest terms. With
Step
Since the degree of numerator equals degree of numerator, therefore the graph is horizontal.
To determine the graph of
The only solution
Step
From the graph, there is no
There is a vertical asymptote at
Step
The graph of this function is as follows,
Conclusion:
Therefore,the given polynomial function is analyzed.
Chapter 4 Solutions
Precalculus
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