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Math Help - Finding values for a function with horizontal asymptote

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    Finding values for a function with horizontal asymptote

    Find values of a,b, and c for exponential function f(x) = cb^-x + a. Given that horizontal asymptote is y=72. Y-intercept is 425 and point P(1,248.5) lies on the graph.

    Can anyone explain this step-by-step?
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    Quote Originally Posted by mwok View Post
    Find values of a,b, and c for exponential function f(x) = cb^-x + a. Given that horizontal asymptote is y=72. Y-intercept is 425 and point P(1,248.5) lies on the graph.

    Can anyone explain this step-by-step?
    as x gets large, cb^{-x} gets very small ... a = 72

    y-intercept at x = 0 ... cb^0 + 72 = 425 ... c = 353

    x = 1 ... 248.5 = 353 \cdot b^{-1} + 72

    you solve for b.
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