Mathematics

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