Question

Complete the table and sketch the exponential function on the graph

Answer 1

From the table given, we have

`\begin{gathered} x=-3 \\ y=-4^(-3)=-(1)/(64) \end{gathered}`

Next

`\begin{gathered} x=-2 \\ y=-4^(-2)=-(1)/(16) \end{gathered}`

Next

`\begin{gathered} x=-1 \\ y=-4^(-1)=-(1)/(4) \end{gathered}`

Next

`\begin{gathered} x=0 \\ y=-4^0=-1 \end{gathered}`

Next

`\begin{gathered} x=1 \\ y=-4^1=-4 \end{gathered}`

Next

`\begin{gathered} x=2 \\ y=-4^2=-16 \end{gathered}`

Lastly

`\begin{gathered} x=3 \\ y=-4^3=-64 \end{gathered}`

The table becomes

The graph becomes