About this unit A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. Unit guides are here! …

Inputs and outputs of a function Learn Worked example: matching an input to a function's output (equation)

A function-- and I'm going to speak about it in very abstract terms right now-- is something that will take an input, and it'll munch on that input, it'll look at that input, it will do something to that input.

What are rational functions? How do we plot them? What is their domain and range? Let's find out. We break down the definition of the function given in set-builder form and plot the graph …

The definition of a function is that it is a set of ordered pairs where each input (x-value) creates only one output (y-value). Based on this definition, a function does not need to be an equation.

A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions.

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.

Our function definition is now complete, but a function definition just defines how to perform a task. To actually perform that task, we still need to call the function.

But what we're now going to explore is functions that are defined piece by piece over different intervals and functions like this you'll sometimes view them as a piecewise, or these types of …

The definition of a function is that each input creates only one output value. For a function to have an inverse, the relationship must be that there is a 1-to-1 relationship between its input values …