Let . Which of the following best describes the behaviour of over all real…

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

Problem

Let

h(x)=2^{x+1}\,\left(\dfrac14\right)^{2x-3}

. Which of the following best describes the behaviour of

h(x)

over all real

x

? (a)

h(x)

is strictly increasing (b)

h(x)

is not an exponential function because the base is negative (c)

h(x)

is strictly decreasing (d)

h(x)

is constant for all

x