Here you will learn what is constant function with definition, graph and examples.
Let’s begin –
What is Constant Function ?
Definition : If k is a fixed real number, then a function f(x) given by f(x) = k for all x \(\in\) R is called a constant function.
For Example, f(x) = 2 , f(x) = 5, f(x) = 2.5 etc.
Sometimes we also call it the constant function k.
Also Read : Types of Functions in Maths – Domain and Range
Graph of Constant Function
The graph of a constant function f(x) = k is a straight line parallel to x-axis which is above or below x-axis according as k is positive or negative.
If k = 0, then the straight line is coincident to x-axis.
Domain and Range
We observe that the domain of the constant function f(x) = k is the set R of all real numbers and range of f is the singleton set {k}.
Domain : R
Range : {k}
