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

Well, a function can be transformed the same way any geometric figure can: They could be shifted/translated, reflected, rotated, dilated, or compressed. So that's pretty much all you can …

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! …

- [Instructor] We have the graphs of three functions here, and what we know is that one of them is the function f, another is the first derivative of f, and then the third is the second derivative of f.

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 …

Equations and functions are not the same thing, but they can be related in several ways. In this video, we obtain a function from an equation. The function represents the same relationship …

We can reflect the graph of any function f about the x-axis by graphing y=-f (x) and we can reflect it about the y-axis by graphing y=f (-x). We can even reflect it about both axes by graphing y=-f …

If we get an expression that is equivalent to f (x), we have an even function; if we get an expression that is equivalent to -f (x), we have an odd function; and if neither happens, it is …

End behaviour describes a function's output at the extreme ends of input values - i.e. what happens to f(x) if we change x → +∞ or x → -∞. Visually, it's the function's vertical direction on …

In general, if a function f has a zero of odd multiplicity, the graph of y = f (x) will cross the x -axis at that x value. If a function f has a zero of even multiplicity, the graph of y = f (x) will touch the x …