question archive Find the exponential function f(X) = aX whose graph is given

Find the exponential function f(X) = aX whose graph is given

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Find the exponential function f(X) = aX whose graph is given. f(x) =

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in this question, we have given point on curve,
(-2,9)
and f(x) = a^x
So, plug in values
9 = a^(-2)
9 is 3 ^2 and 1/3 ^ -2 = 9
So, correct graph is

y = (1/3)^x