Concept explainers
To discuss:the given rational function.
Answer to Problem 30RE
Explanation of Solution
Given:
Calculation:
The domain of
Since
The function
The real zeroes of the denominator are the real solutions of the equation.
The degree of the numerator is greater than the degree of the denominator. The function
The quotient is
The zero of the numerator,
| |||
Interval | |||
Number chosen | |||
Value of | |||
Location of graph | Below | Above | Above |
Point on graph |
Plot
The points are not labeled for convenience.
Now, determine the behavior of the graph near the asymptotes.
Since
Complete the graph as shown.
Conclusion:
Therefore, the given rational function is analyzed
Chapter 4 Solutions
Precalculus
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