# Cube Function – Graph, Definition, Domain and Range

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

Let’s begin –

## Cube Function Definition and Formula

The function that associates a real number x to its cube i.e. $$x^3$$ is called the cube function. Since $$x^3$$ is defined for all x $$\in$$ R. So, we defined the cube function with the formula f(x) = $$x^3$$ as follows :

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

## Cube Function Graph

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

So, The graph of f(x) = $$x^3$$ is shown below. Clearly, the graph is symmetrical in opposite quadrants.

## Domain and Range :

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

Domain : R

Range : R