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 passes through the points

(1,6)

and

(4,162)

. Find the values of

a

and

b

f(x)=a\,b^{x}