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.

cube function

Domain and Range :

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

Domain : R

Range : R

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