SOLUTION: Write a rational function that has the following attributes: Vertical asymptote: x=-1, x=2 Horizontal asymptote: y=-2 x-intercept: x=3, x=-2

Question 694889: Write a rational function that has the following attributes:
Vertical asymptote: x=-1, x=2
Horizontal asymptote: y=-2
x-intercept: x=3, x=-2

Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Vertical asymptotes occur when denominator is zero
so Vertical asymptote at x=-1, x=2 would need factors in the denominator
so we are looking for a function of the form
x-intercept x=3, x=-2 would need factors in the numerator
so we are looking for a function of the form
Finally we want a Horizontal asymptote at y=-2, this would require y ~ -2 as , which leads to the function

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