First let's do the table, after we plot the points and try to draw the graph
[tex]\begin{gathered} x=-1\rightarrow y=2\cdot(5)^{-1}\rightarrow y=\frac{2}{5} \\ \\ x=0\rightarrow y=2\cdot(5)^0\rightarrow y=2 \\ \\ x=1\rightarrow y=2\cdot(5)^1\rightarrow y=10 \\ \\ x=2\rightarrow y=2\cdot(5)^2\rightarrow y=50 \end{gathered}[/tex]
Therefore we have the points
[tex]\begin{gathered} (-1,2/5) \\ (0,2) \\ (1,10) \\ (2,50) \end{gathered}[/tex]
Let's plot them
Now we can do a curve that fits these points
That's the graph of the function
