Write an equation for a rational function with the given characteristics. vertical asymptote at x = 4, double zero at x = 1, y-intercept at (0, 3) y =

The vertical asymptote requires a factor of (x-4) in the denominator.

The double zero requires a factor of (x-1)² in the numerator.

At x=0, these factors will give a value of (-1)²/(-4) = -1/4, so another constant factor of -12 is needed to make the y-intercept be 3.

Your rational function is ...

... y = -12(x -1)²/(x -4)

answer: 140

step-by-step explanation:

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