graph the exponential function.\ng(x)=(4/5)^x\nplot five points on the graph of the function. then click on…

Explanation:

Step1: Find value when x = - 2

Substitute (x=-2) into (g(x)=\left(\frac{4}{5}\right)^{x}), we get (g(-2)=\left(\frac{4}{5}\right)^{-2}=\left(\frac{5}{4}\right)^{2}=\frac{25}{16}=1.5625).

Step2: Find value when x = - 1

Substitute (x = - 1) into (g(x)=\left(\frac{4}{5}\right)^{x}), we get (g(-1)=\left(\frac{4}{5}\right)^{-1}=\frac{5}{4}=1.25).

Step3: Find value when x = 0

Substitute (x = 0) into (g(x)=\left(\frac{4}{5}\right)^{x}), we get (g(0)=\left(\frac{4}{5}\right)^{0}=1).

Step4: Find value when x = 1

Substitute (x = 1) into (g(x)=\left(\frac{4}{5}\right)^{x}), we get (g(1)=\frac{4}{5}=0.8).

Step5: Find value when x = 2

Substitute (x = 2) into (g(x)=\left(\frac{4}{5}\right)^{x}), we get (g(2)=\left(\frac{4}{5}\right)^{2}=\frac{16}{25}=0.64).

The five points are ((-2,1.5625),(-1,1.25),(0,1),(1,0.8),(2,0.64)) which can be plotted on the graph.

Answer:

The five - point set is ((-2,1.5625),(-1,1.25),(0,1),(1,0.8),(2,0.64))