Here you will learn what is square function with definition, graph, domain and range.
Let’s begin –
The function that associates a real number x to its square i.e. \(x^2\) is called square function. Since \(x^2\) is defined for all x \(\in\) R. So, we defined the square function as follows :
Definition : The function f : R \(\rightarrow\) R defined by f(x) = \(x^2\) is called the square function.
Also Read : Types of Functions in Maths – Domain and Range
Square Function Graph
The graph of f(x) = \(x^2\) is :
Domain and Range :
Clearly, the domain of the square function is R and its range is set of all non-negative real numbers i.e. [\(0, \infty\)).
Domain : R
Range : [\(0, \infty\))