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
