SOLUTION: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -1 x intercepts at x = -4 and x = -6 y intercept at 9

Question 1146024: Write an equation for a rational function with:
Vertical asymptotes at x = 3 and x = -1
x intercepts at x = -4 and x = -6
y intercept at 9
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(1) vertical asymptotes at x=3 and x=-1 --> factors of (x-3) and (x+1) in the denominator
(2) x intercepts at x=-4 and x=-6 --> factors of (x+4) and (x+6) in the numerator

So the function is of the form

(3) y intercept at 9 (i.e., (0,9) is a point on the graph) --> to complete the function, evaluate the function at x=0 to solve for the value of the constant a.

The function is

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