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

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.

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 …

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 …

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.

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.

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.

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.

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 …