Let's take a look at an example where plotting a graph can help us figure out the domain and range of a function. Even if that function is not a polynomial. We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. Since this function has a square root involved, we leverage algebra to figure out the domain. Range is calculated through visually observing the graph. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! ( :relations-and-functions-ncert-new/xea4762213f311c5e:functions/e/domain_and_range_0.5) Timestamps: 00:00 Problem (function is defined which is not a polynomial) 00:26 Graph drawn by plotting points 02:55 Domain and Range (visually observed) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: Created by Ashish Gupta