Question

Graph the exponential function.f(x)=4(5/4)^xPlot five points on the graph of the function,

Answer 1

We are required to graph the exponential function:

`f(x)=4((5)/(4))^x`

First, we determine the five points which we plot on the graph.

`\begin{gathered} \text{When x=-1, }f(-1)=4((5)/(4))^(-1)=3.2\text{ }\implies(-1,3.2) \\ \text{When x=0, }f(0)=4((5)/(4))^0=4\text{ }\implies(0,4) \\ \text{When x=1, }f(1)=4((5)/(4))^1=5\implies(1,5) \\ \text{When x=2, }f(2)=4((5)/(4))^2=6.25\implies(2,6.25) \\ \text{When x=3, }f(3)=4((5)/(4))^3=7.8125\text{ }\implies(3,7.8125) \end{gathered}`

Next, we plot the points on the graph.

This is the graph of the given exponential function.