Answer
f(-2)=1/18 .F(0)=1/2.f(2)=9/2
Work Step by Step
You have f(x)=$\frac{1}{2}$ $\times$ $3^{x}$.Plug in x=-2,0,2 to solve for Y:
x=-2:
f(-2)=$\frac{1}{2}$ $\times$ $3^{-2}$
f(-2)=$\frac{1}{2}$ $\times$ $\frac{1}{9}$
f(-2)=$\frac{1}{18}$
x=0:
f(0)=$\frac{1}{2}$ $\times$ $3^{0}$ -any number raised to 0 always equals 1-
f(0)=$\frac{1}{2}$ $\times$1
f(0)=$\frac{1}{2}$
x=2:
f(2)=$\frac{1}{2}$ $\times$ $3^{2}$
f(2)=$\frac{1}{2}$ $\times$ 9
f(2)=$\frac{9}{2}$
You have f(-2)=$\frac{1}{18}$,f(0)=$\frac{1}{2}$,f(2)=$\frac{9}{2}$. Plot these points and connect them to make a graph.