Answer
$y=0.375$
$y=1.5$
$y=1.5 \sqrt{2}$
Work Step by Step
The given function is
$\Rightarrow y=1.5(2)^x$
Substitute $-2$ for $x$.
$\Rightarrow y=1.5(2)^{-2}$
Evaluate the power.
$\Rightarrow y=1.5\cdot \frac{1}{2^2}$
Simplify.
$\Rightarrow y=0.375$
Substitute $0$ for $x$.
$\Rightarrow y=1.5(2)^{0}$
Evaluate the power.
$\Rightarrow y=1.5\cdot 1$
Simplify.
$\Rightarrow y=1.5$
Substitute $\frac{1}{2}$ for $x$.
$\Rightarrow y=1.5(2)^{\frac{1}{2}}$
Evaluate the power.
$\Rightarrow y=1.5\cdot \sqrt{2}$
Simplify.
$\Rightarrow y=1.5\cdot \sqrt{2}$.
