For the function

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

Problem

For the function

g(x)=7\left(\dfrac{1}{2}\right)^{x}

, which one of the following correctly describes its monotonic behaviour? (a) Strictly increasing for all real

x

(b) Constant for all real

x

x

(d) Increases for

x<0

and decreases for

x>0