# How do you find the domain and range of t^(1/3) ?

May 18, 2017

All real numbers

$t \in \mathbb{R} , f \left(t\right) \in \mathbb{R}$

#### Explanation:

We have: $f \left(t\right) = {t}^{\frac{1}{3}}$

$R i g h t a r r o w f \left(t\right) = \sqrt[3]{t}$

Both the domain and range of cubic functions are the set of all real numbers, i.e. $t \in \mathbb{R} , f \left(t\right) \in \mathbb{R}$.

From the above graph, it is clear that the graph infinitely spreads across the axes (because of the arrows).

Source: Tarantamath. Graph of basic cubic function. Digital image. Tarantamath. PBworks, n.d. Web. 18 May 2017.