Toidentify:The any hole and vertical or horizontal asymptotes for the graph of rational function is
The vertical asymptotes are
The horizontal asymptote is
Given information:
The given rational function is
Explanation:
Consider the given rational function.
Write the function in factor form.
Determine is zero for
Therefore zero of a denominator is
Determine the vertical asymptotes and holes.
There are no common zeros for both numerator and denominator.
Therefore vertical asymptotes are the zeros of the denominator.
Hence the vertical asymptotes are
There is no holes
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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