Finding the domain and the range of a function that is given graphically. Created by Sal Khan.

The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0.

Actually, on a Cartesian plane, we only use the domain and range of real numbers (not rational numbers), so we do not include imaginary numbers. These are not on our normal Cartesian (x-y) …

- [Instructor] In this video, we're gonna do a few examples finding domains of functions. So let's say that we have the function f of x is equal to x plus five over x minus two.

Determine the domain of a function according to the algebraic limitations of that function.

So what's is the domain? The domain of a function, you'll often hear it combined with domain and range. But the domain of a function is just what values can I put into a function and get a valid output. So …

We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. Domain and Range is calculated through visually observing the graph.

I understand finding the range of a function, but I'm still confused about how to find the domain. Using the first function from the example, what would be the domain and how would you find it?

Domain and range from graph VA.Math: A.F.1.a, AFDA.AF.2.a VA.Math.2023: A.F.1.a, AFDA.AF.2.a Google Classroom Microsoft Teams

Video transcript - [Instructor] We're asked to determine for each x-value whether it is in the domain of f or not. And they have our definition of f of x up here. So pause this video and see if you can work …