algebra

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I don't understand how to do this problem. Please help!

Find an exponential function of the form f(x) = bax that has a y-intercept of 2 and passes through the point (2, 98). For example, if the equation is f(x) = 2(7)x respond by entering the answer as 2(7)^x

  • algebra -

    I think you meant:

    y = b(a^x)
    you have 2 points, (0,2) and (2,98) which lie on this graph
    sub in (0,2)
    2 = b(a^0) ---> b = 2

    so y = 2(a^x), now sub in (2,98)
    98 = 2(a^2)
    49 = a^2
    a = ± 7

    so your equation is y = 2(7)^x

    (strange that they would give you the actual answer as a hint or example)

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