Answer
Graph of $f(x)=6^{-x}$
Work Step by Step
Substituting values of $x$ in the given function, $
f(x)=6^{-x}
$, results to
\begin{array}{c|c|c}
\text{If }x=-1: & \text{If }x=0 & \text{If }x=1
\\\\
f(x)=y=6^{-x} & f(x)=y=6^{-x} & f(x)=y=6^{-x}
\\
y=6^{-(-1)} & y=6^{-0} & y=6^{-1}
\\\\
y=6^{1} & y=6^{0} & y=\dfrac{1}{6^1}
\\\\
y=6 & y=1 & y=\dfrac{1}{6}
.\end{array}
Tabulating the results above results to the table below.
\begin{array}{c|c}
\hline
x & y
\\\hline
-1 & 6
\\\hline
0 & 1
\\\hline
1 & \dfrac{1}{6}
\end{array}
Connecting the points $
\left(-1,6\right),
\left(0,1\right),
\text{ and }
\left(1,\dfrac{1}{6}\right)
$ with a curve gives the graph of $
f(x)=6^{-x}
$.
