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Find a possible formula for the function graphed below. Assume the function has only one x-intercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula as a reduced rational function.

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  1. the asymptotes mean

    y = ??? / (x+2)(x-1)

    y(0)=0, so

    y = ax / (x+2)(x-1)

    y(2) = 12, so

    12 = 2a/4
    a = 24

    y = 24x / (x+2)(x-1)

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  2. ty!

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