# Library of Functions-Target F-Cube Root It-Practice Problems

## Target 6F To Graph the Cube Root Function

1) Graph

• $f(x)=\sqrt[3] x$

2) What is the domain and range of the function?

Is the function increasing or decreasing over the following intervals?
$\textbf{3)} \ \ \text{-}8

$\textbf{4)} \ \ 0

$\textbf{5)} \ \ 8

6) Graph the following function in a graphing utility. What do you notice?

• $g(x)=x^\frac{1}{3}$

7) Given that x=1 and x=64, what would be the rate of change between the points given the function.

• $f(x)=\sqrt[3] x$