Answer
$y=\frac{2}{81}$
$y=2$
$y=6$.
Work Step by Step
The given function is
$\Rightarrow y=2(9)^x$
Substitute $-2$ for $x$.
$\Rightarrow y=2(9)^{-2}$
Evaluate the power.
$\Rightarrow y=2\cdot \frac{1}{81}$
Simplify.
$\Rightarrow y=\frac{2}{81}$
Substitute $0$ for $x$.
$\Rightarrow y=2(9)^{0}$
Evaluate the power.
$\Rightarrow y=2\cdot 1$
Simplify.
$\Rightarrow y=2$
Substitute $\frac{1}{2}$ for $x$.
$\Rightarrow y=2(9)^{\frac{1}{2}}$
Evaluate the power.
$\Rightarrow y=2\cdot 3$
Simplify.
$\Rightarrow y=6$.
