Let , where…

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

Problem

Let

f_{a}(x)=a\cdot 2^{x}

, where

a\neq 0

. (i) Express the range of

f_{a}

in terms of the sign of

a

. (ii) Hence, write the range when

a=-4