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! …

If we have a function with 2 inputs to create 1 output, we can graph in a 3 dimensional graph of (x, y, z). Once you go to even higher inputs, we typically would not graph them as we don't what a …

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)

Limits of combined functions: products and quotients Get 3 of 4 questions to level up!

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 …

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Another way to visualize origin symmetry is to imagine a reflection about the x -axis, followed by a reflection across the y -axis. If this leaves the graph of the function unchanged, the graph is …

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.

Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus.

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 …