Answer
See the picture below.
Work Step by Step
By calculating a few pairs, plotting each ordered pair, and connecting the dots on the graph with a smooth curve, we graph the function.
By the laws of exponents $a^{-x}=frac{1}{a}^{x}$, we transform the function to $f(x)=4^{-x}=(\frac{1}{4})^{x}=$ because it's easier to calculate with this form.
A few pairs:
$f(-1)=\frac{1}{4}^{-1}=4$
$f(0)=\frac{1}{4}^0=1$
$f(1)=\frac{1}{4}^1=\frac{1}{4}$
$f(2)=\frac{1}{4}^{2}=\frac{1}{16}$
