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! Power up your …

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 by connecting …

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.

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.

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.

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 function …

Not all functions have inverses. Those who do are called "invertible." Learn how we can tell whether a function is invertible or not.