To find: The vertical asymptotes and holes of the graph of the rational function
The vertical asymptote is at
Given:
The rational function is
Concept:
- Vertical asymptotes of a rational function: The vertical asymptotes of a rational function can be evaluated by reducing the rational function first and equate the denominator equal to zero. If the denominator is already in the reduced form, then simply equate it to zero to find the vertical asymptotes of the function.
- Holes of a rational function: The holes of a rational function can be evaluated by reducing the rational function first and look for common factors in numerator and denominator and equate the common term in numerator and denominator equal to zero to get the holes of the rational function. And, if the rational function is already in reduced form, then there are no holes in the rational function.
Calculation:
The rational function
The vertical asymptote is at
Now, the rational function
Conclusion:
The vertical asymptote is at
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Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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