SOLUTION: Write a rational function g with vertical asymptotes at x=3, x=-3, a horizontal asymptote at y=-2 and with no x intercept.

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Question 934457: Write a rational function g with vertical asymptotes at x=3, x=-3, a horizontal asymptote at y=-2 and with no x intercept.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
given: vertical asymptotes at , , a horizontal asymptote at and with no intercept:
Since has a vertical asymptotes at and , then the denominator of the rational function contains the product of and . Function has the form:

For the horizontal asymptote to exist, the numerator of . At the same time the numerator of real zeros.
Hence





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