Question

X83Plot five points on the graph of the function. Then click on the graph-a-function button.f(x)=\ExplanationI need help with this math problem

Answer 1

We have the following function

`f(x)=((8)/(3))^x`

So, in order to get 5 points, we need to put some values into variable x and obtain the y-values. If you substitute x=0 into the function, we have

`f(0)=((8)/(3))^0=1`

so we have obtained the point (0,1).

Similarly, if we choose x=0.5, we have

`f(0.5)=((8)/(3))^(0.5)=1.63299`

Now, for x=1, we get

`f(1)=((8)/(3))^1=(8)/(3)=2.666666`

For x=2, we get

`f(2)=((8)/(3))^2=7.11111`

for x=3, we obtain

`f(3)=((8)/(3))^3=18.96296`

and for x=-1, we have

`f(-1)=((8)/(3))^(-1)=0.375`

Then, we can to construct the following table:

By means of these coordinate points, the graphs is: