Understand the range of a function with Khan Academy's video lesson, explaining the concept and its application in mathematics.

The range of a function is the set of all possible outputs the function can produce. Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more …

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.

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 …

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

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 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.

I see how it is written in the function definition itself, but how is it written in the domain and range, which accounts for the entire span of possible outputs for all inputs?

It's a function where the output or result (the y value) can only be certain numbers, and can't be any other number in between that wasn't specified. So in the video, we know what y is when x …

If you have a single-variable function like y=f (x), you can think of its derivative as the slope of the tangent line at any point. However, once you start looking at functions with multiple outputs …