First let us know what range is and then will learn the steps to find a range of a function.
The set of all the outputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outcomes of the dependent variable.
Steps to find a range of a function
Consider a function y = f(x).
- The spread of all the y values from minimum to maximum is the range of the function.
- In the given expression of y, substitute all the values of x to check whether it is positive, negative or equal to other values.
- Find the minimum and maximum values for y.
- Then draw a graph for the same.