How do you find the range of a function?

First let us know what range is and then will learn the steps to find a range of a function.

Definition

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.

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