Okay, here we have this:
Considering the provided function, we are going to plot five points on the graph and use them to graph the function with the help of a graphing calculator, then we get the following:
To calculate the 5 points we will evaluate the function at x=0, 1, 2, 3 and 4, then we have:
x=0:
[tex]\begin{gathered} g(x)=2^x \\ g(0)=2^0 \\ g(0)=1 \end{gathered}[/tex]
x=1:
[tex]\begin{gathered} g(x)=2^x \\ g(1)=2^1 \\ g(1)=2 \end{gathered}[/tex]
x=2:
[tex]\begin{gathered} g(x)=2^x \\ g(2)=2^2 \\ g(2)=4 \end{gathered}[/tex]
x=3:
[tex]\begin{gathered} g(x)=2^x \\ g(3)=2^3 \\ g(3)=8 \end{gathered}[/tex]
x=4:
[tex]\begin{gathered} g(x)=2^x \\ g(4)=2^4 \\ g(4)=16 \end{gathered}[/tex]
Finally then we will graph these points and use them to graph the function, and the graph looks like this:
