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.

cube root function

Domain and Range :

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

Domain : R

Range : R

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