The function is defined by .

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

Problem

The function

h

is defined by

h(x)=-3\cdot2^{x}

. (i) Calculate

h\left(\dfrac{1}{2}\right)

. (ii) Find

h(-2.5)

. (iii) Determine the real number

x

for which

h(x)=-12