Question

Graph f(x)=3−x

and g(x)=(13)x
using a graphing calculator. Compare the functions. Determine whether each function represents exponential growth or exponential decay.

Answer 1

The graph of the functions
`f(x) = 3^{-x` and
`g(x) = ((1)/(3))^{x` is added as an attachment

Each function represents exponential decay.

Sketching the graph of the functions

From the question, we have the following parameters that can be used in our computation:

`f(x) = 3^{-x`

Also, we have

`g(x) = ((1)/(3))^{x`

The above functions are exponential functions

The graph of the functions is added as an attachment

From the graph, we can see that

• Both functions are the same
• y reduces as x increases

This means that each function represents exponential decay.