Question

(d) Based on your analysis from part c, sketch a graph of what y=9^x could look like.

Answer 1

Given the expression:

`y=9^x`

The graph of the function will be as shown in the following picture:

We will study the behaviour for the following conditions:

x < 0, the function tends to zero

x = 0, the function will be = 1, which represents y-intercept

0 < x < 1 , the function will be in the rangle 1 < y < 9

x = 1 , the function will be = 9

x > 1 , the function tends to infinity