To determine if a function is invertible, we need to decide if each input has a unique output. To do this, we can imagine passing a horizontal line through the graph of the function.

Learn about inverse functions, their properties, and how to determine them in this comprehensive algebra resource.

Sal explains what inverse functions are. Then he explains how to algebraically find the inverse of a function and looks at the graphical relationship between inverse functions.

Some cubic functions such as the parent function (y=x^3) or with just a cube and constant (y=x^3 - 27) would have inverses that are functions. By starting out with a function, you know it passes the …

Now, just out of interest, let's graph the inverse function and see how it might relate to this one right over here. So if you look at it, it actually looks fairly identical.

Sketch the graph of a transformed sine, cosine, and tangent function written in standard form by using transformations for at least a two-period interval, including both positive and negative values for the …

Learn how to build a mapping diagram for a finite function, and how to use this diagram to determine if the function is invertible. An invertible function has a one-to-one mapping between its domain and …

Some cubic functions such as the parent function (y=x^3) or with just a cube and constant (y=x^3 - 27) would have inverses that are functions. By starting out with a function, you know it passes the …

Divide one polynomial by another, and what do you get? A rational function! We'll analyze the family of rational functions, and we'll see some examples of how they can be useful in modeling contexts.

This explanation is so much clearer than the intro to inverse functions. The key here is the tables, and that the roles of x and y are reversed. That explains why the inverse graph does not overlay the …