For the two exponential functions and

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

Problem

For the two exponential functions

y=4^x

and

y=\bigl(\tfrac14\bigr)^x

, answer the following: (i) Identify which of the two curves is increasing and which is decreasing on

\mathbb R

. (ii) Write the common equation of their horizontal asymptote.