To state: an example of a rational function fulfilling the given conditions.
Answer to Problem 45E
Explanation of Solution
Given information:
The graph of rational function cannot intersect a vertical asymptote, but it is possible for the graph to intersect its horizontal asymptote for small values of x.
Calculation:
Let the x-axis be the horizontal asymptote of the function, i.e. allow the graph to cross the horizontal asymptote once. Then graph will follow the asymptote on both sides of the vertical asymptote. Example:
The graph for the given function is as follows:
It is evident from the graph of rational function
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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