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.

Also Read : Types of Functions in Maths – Domain and Range

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