# Cube Root Function – Graph, Definition, Domain and Range

Here you will learn what is cube root function with definition, graph, domain and range.

Let’s begin –

## Cube Root Function

The function that associates a real number x to its cube root i.e. $$x^{1/3}$$ is called the cube root function. Clearly, $$x^{1/3}$$ is defined for all x $$\in$$ R. So, we defined the cube root function as follows :

Definition : The function f : R $$\rightarrow$$ R defined by f(x) = $$x^{1/3}$$ is called the cube root function.

## Cube Root Function Graph

The sign of $$x^{1/3}$$ is same as that of x and the values of $$x^{1/3}$$ increase with the increase in x.

So, the graph of f(x) = $$x^{1/3}$$ is shown below.

## Domain and Range :

Clearly, the domain of the cube root function is R and its range is also R.

Domain : R

Range : R