The graph of an exponential function passes through the points and

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The graph of an exponential function

f(x)=a^{x}

passes through the points

(0,1)

and

(2,9)

. (a) Determine the value of the base

a

. (b) Write the explicit equation of the function. (c) Using your equation, find the value of

f(-1)

and express your answer as a rational number.