To find: the all the asymptotes and holes in the graph of the given rational function
and then to verify with the graphing utility.
Explanation of Solution
Given information:
The given polynomial is
Calculation:
Consider
The degree of the numerator is less than the degree of the denominator.
The horizontal asymptote is
Equate denominator to zero.
The vertical asymptote is
The hole of the rational function makes the numerator and denominator equal to zero.
The hole of the polynomial is
The graph of the polynomial is shown below
The results are correct from the above the graph.
Hence,
The horizontal asymptote is
The vertical asymptote is
The hole of the polynomial is
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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