Question

Graph the exponential function. See image for graph and table

Answer 1

First let's do the table, after we plot the points and try to draw the graph

`\begin{gathered} x=-1\rightarrow y=2\cdot(5)^(-1)\rightarrow y=(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}`

Therefore we have the points

`\begin{gathered} (-1,2/5) \\ (0,2) \\ (1,10) \\ (2,50) \end{gathered}`

Let's plot them

Now we can do a curve that fits these points

That's the graph of the function