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.

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

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