Toidentify:The any hole and vertical or horizontal asymptotes for the graph of rational function is
The vertical asymptotes is
The horizontal asymptote is
Given information:
The given rational function is
Explanation:
Consider the given rational function.
Determine the zero of the denominator.
Therefore zero of a denominator is
Determine the zeros of numerator
Numerator is zero for.
Therefore numerator is zero at
Determine the vertical asymptotes and holes.
Clearly
Hence the vertical asymptotes are
There holes is at
Vertical asymptote is
Determine the horizontal asymptotes
Here degree of the numerator is less than the degree of the denominator.
Hence the horizontal asymptote is
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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