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! …

Given the graph of a discrete function, Sal shows how to evaluate the function for a few different values.

Functions assign a single output for each of their inputs. In this video, we see examples of various kinds of functions.

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 …

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We can graph an exponential function, like y=5ˣ, by picking a few inputs (x-values) and finding their corresponding outputs (y-values). We'll see that an exponential function has a horizontal …

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.

Unlike the graphs of linear functions, the graphs of quadratic functions are nonlinear: they don't look like straight lines. Specifically, the graphs of quadratic functions are called parabolas.

Function values can be positive or negative, and they can increase or decrease as the input increases. Here we introduce these basic properties of functions.

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