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Find the exponential function f(x)=Ca^x whose graph goes through the points (0,3) and (2,12).

  • math -

    for (03) --> 3 = C a^0
    3 = C (1)
    so C = 3

    for (2,12) --- 12 = 3a^2
    4 = a^2
    a = 2

    f(x) = 3 (2)^x

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