graph the exponential function.\ng(x)=\frac{1}{4}(5)^{x}\nplot five points on the graph of the function…

Explanation:

Step1: Choose x - values

Let (x=- 2,-1,0,1,2).

Step2: Calculate y - values for (x = - 2)

Substitute (x=-2) into (g(x)=\frac{1}{4}(5)^{x}), we get (g(-2)=\frac{1}{4}\times5^{-2}=\frac{1}{4}\times\frac{1}{25}=\frac{1}{100}=0.01).

Step3: Calculate y - values for (x=-1)

Substitute (x = - 1) into (g(x)=\frac{1}{4}(5)^{x}), we get (g(-1)=\frac{1}{4}\times5^{-1}=\frac{1}{4}\times\frac{1}{5}=\frac{1}{20}=0.05).

Step4: Calculate y - values for (x = 0)

Substitute (x = 0) into (g(x)=\frac{1}{4}(5)^{x}), we get (g(0)=\frac{1}{4}\times5^{0}=\frac{1}{4}\times1=\frac{1}{4}=0.25).

Step5: Calculate y - values for (x = 1)

Substitute (x = 1) into (g(x)=\frac{1}{4}(5)^{x}), we get (g(1)=\frac{1}{4}\times5^{1}=\frac{5}{4}=1.25).

Step6: Calculate y - values for (x = 2)

Substitute (x = 2) into (g(x)=\frac{1}{4}(5)^{x}), we get (g(2)=\frac{1}{4}\times5^{2}=\frac{1}{4}\times25 = 6.25).

The five points are ((-2,0.01),(-1,0.05),(0,0.25),(1,1.25),(2,6.25))

Answer:

The five points are ((-2,0.01),(-1,0.05),(0,0.25),(1,1.25),(2,6.25))