Question

Question 7. Y=(5/2)^xSketch the graph of each of the exponential functions and label three points on each graph.

Answer 1

Given:

`y=\mleft((5)/(2)\mright)^x`

To sketch the graph:

First find the three points.

Put x=-1 we get,

`\begin{gathered} y=((5)/(2))^(-1) \\ =(2)/(5) \\ =0.4 \end{gathered}`

Put x=0 we get,

`\begin{gathered} y=((5)/(2))^0 \\ =1 \end{gathered}`

Put x=1 we get,

`\begin{gathered} y=((5)/(2))^1 \\ =2.5 \end{gathered}`

Therefore, the three points are, (-1, 0.4), (0, 1), and (1, 2.5).

The graph is,