AP

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

g(x)=3^{\,x-2}+5

. (i) Find the domain of

g

. (ii) Determine the range of

g

. (iii) Write the equation of the horizontal asymptote of the graph of

y=g(x)

and verify whether the point

(0, g(0))

lies above or below this asymptote.