Question

Fill in the table and sketch the exponential function on graph. See picture for more info

Answer 1

From the problem, we have the exponential function :

`y=2(1.1)^x`

We just need to plug in the given values of x and solve for the corresponding values of y.

That will be :

`\begin{gathered} y=2(1.1)^(-3)=1.50 \\ y=2(1.1)^(-2)=1.65 \\ y=2(1.1)^(-1)=1.82 \\ y=2(1.1)^0=2 \\ y=2(1.1)^1=2.2 \\ y=2(1.1)^2=2.42 \\ y=2(1.1)^3=2.66 \end{gathered}`

Now plot the following points to the rectangular coordinate system :

`(-3,1.50),(-2,1.65),(-1,1.82),(0,2),(1,2.2),(2,2.42),(3,2.66)`

The graph will be :