# How do you graph g(x)=(8/5)^x?

Mar 16, 2018

(Graph below)

#### Explanation:

The simplest way is the graph by making a table. Plug in 0 for x in the equation, which results in 1 for y, or (0,1). Other points can be found by plugging in integers for x:

$\left(- 3 , \frac{125}{512}\right) , \left(- 2 , \frac{25}{64}\right) , \left(- 1 , \frac{5}{8}\right) , \left(0 , 1\right) , \left(1 , \frac{8}{5}\right) , \left(2 , \frac{64}{25}\right) , \left(3 , \frac{512}{125}\right)$

Connecting the points renders:
graph{(8/5)^x [-10, 10, -5, 5]}