Given:
[tex]f(x)=3^x[/tex]
To find:
The type of function by completing the table and graphing the function
Explanation:
When x = -2,
[tex]\begin{gathered} y=3^{-2} \\ =\frac{1}{3^2} \\ =\frac{1}{9} \\ =0.11 \end{gathered}[/tex]
When x = -1,
[tex]\begin{gathered} y=3^{-1} \\ =\frac{1}{3} \\ =0.33 \end{gathered}[/tex]
When x = 0,
[tex]\begin{gathered} y=3^0 \\ =1 \end{gathered}[/tex]
When x = 1,
[tex]\begin{gathered} y=3^1 \\ =3 \end{gathered}[/tex]
When x = 2,
[tex]\begin{gathered} y=3^2 \\ =9 \end{gathered}[/tex]
Therefore, the table values are,
Then, the graph will be,
Since the domain of the function is real numbers and the range of the function is a set of positive real numbers.
Therefore, it is an exponential function.
