A curve has a horizontal asymptote and passes through the points and

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

A curve has a horizontal asymptote

y=2

and passes through the points

(1,3)

and

(4,9)

. Which equation is consistent with these facts? (a)

y=3^{x-1}+2

(b)

y=7^{x-1}+2

(c)

y=7^{\frac{x-1}{3}}+2

(d)

y=4^{\frac{x-1}{3}}+2