Concept explainers
To write: an equation of rational function satisfying the given characteristics.
Answer to Problem 43E
Explanation of Solution
Given information:
The graph of rational function satisfies the following characteristics.
The value of x-intercept is at
The vertical asymptotes at
Point of discontinuity at
Calculation:
Since the value of x- intercepts are 2 and
Since the vertical asymptote makes the denominator zero, so the denominator is
The point of discontinuity means that the original function has same factor in both numerator and denominator. So, the factor
Thus, the equation for the given condition is as follows:
Chapter 3 Solutions
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