An exponential curve has a horizontal asymptote and passes through the points and

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

Problem

An exponential curve has a horizontal asymptote

y=1

and passes through the points

(0,3)

and

(2,19)

. Assuming its equation is of the form

y=A\,a^{x}+1

with

A>0

, determine the values of

A

and

a