We have the following function
[tex]f(x)=(\frac{8}{3})^x[/tex]
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
[tex]f(0)=(\frac{8}{3})^0=1[/tex]
so we have obtained the point (0,1).
Similarly, if we choose x=0.5, we have
[tex]f(0.5)=(\frac{8}{3})^{0.5}=1.63299[/tex]
Now, for x=1, we get
[tex]f(1)=(\frac{8}{3})^1=\frac{8}{3}=2.666666[/tex]
For x=2, we get
[tex]f(2)=(\frac{8}{3})^2=7.11111[/tex]
for x=3, we obtain
[tex]f(3)=(\frac{8}{3})^3=18.96296[/tex]
and for x=-1, we have
[tex]f(-1)=(\frac{8}{3})^{-1}=0.375[/tex]
Then, we can to construct the following table:
By means of these coordinate points, the graphs is:
