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 :