Answer
Graph of $f(x)=3^x$
Work Step by Step
Substituting values of $x$ in the given function, $
f(x)=3^x
$, results to
\begin{array}{c|c|c|c}
\text{If }x=-2: & \text{If }x=-1 & \text{If }x=0 & \text{If }x=1 & \text{If }x=2
\\\\
f(x)=y=3^x & f(x)=y=3^x & f(x)=y=3^x & f(x)=y=3^x & f(x)=y=3^x
\\
y=3^{-2} & y=3^{-1} & y=3^0 & y=3^1 & y=3^2
\\\\
y=\dfrac{1}{3^2} & y=\dfrac{1}{3^1} & y=1 & y=3 & y=9
\\\\
y=\dfrac{1}{9} & y=\dfrac{1}{3}
.\end{array}
Tabulating the results above results to the table below.
\begin{array}{c|c}
\hline
x & y
\\\hline
-2 & \dfrac{1}{9}
\\\hline
-1 & \dfrac{1}{3}
\\\hline
0 & 1
\\\hline
1 & 3
\\\hline
2 & 9
\\\hline
\end{array}
Connecting the points $
\left(-2,\dfrac{1}{9}\right),
\left(-1,\dfrac{1}{3}\right),
(0,1),
(1,3)
\text{ and }
(2,9)
$ with a curve gives the graph of $
f(x)=3^x
$.
