[MUSIC] So, there’s all these different ways of taking two functions and producing new functions. You could add, subtract, multiply, divide two functions, and could take two functions and compose them, meaning that the output for the one becomes the input for the other. In light to this, I’d encourage you just to pick up…

# Tag: Math

## Function Mapping

this video we’re going to look at how to describe function as a mapping we have the set of all the inputs that yield an output which is known as the domain and that set of course running outputs is called the range with function works is it maps some point in the domain at…

## Visualizing the Riemann hypothesis and analytic continuation

The Riemann zeta function. This is one of those objects in modern math that a lot of you might have heard of, but which can be really difficult to understand. Don’t worry, I’ll explain that animation that you just saw in a few minutes. A lot of people know about this function because there’s a…

## Graphing Rational Functions Part 1

HELLO, Mr. Tarrou I have done a lot of videos both vertical asymptotes, horizontal asymptotes, slant asymptotes. And on that slant asymptotes video I ended making a full graph from start to finish. I want to some more of that today with rational functions. (polynomial divided by polynomial) For our first example we are going…

## ʕ•ᴥ•ʔ Quadratic Functions – Explained, Simplified and Made Easy

Let’s learn some vocabulary for quadratic functions. First, vertex. What is a vertex of a quadratic function? Well, the word vertex means peak. So the vertex of a quadratic function is the peak point on a parabola. Which means for a parabola opening down, the vertex is the highest point. Now for a parabola opening…

## The Composition of Two Functions 143-2.6.2.a

This video is provided as supplementary material for courses taught at Howard Community College and in this video I want to talk about the composition of functions. Let’s say you’re given two functions. You’ve got function f, and this is f(x)=x + 3, and function g, and that’s g(x)=x^2 – 5. and then you’re told…

## Optimizing Functions of Two Variables

In this video, we’re going to work a few optimization problems for functions of several variables. So before we do a specific problem, let’s review the strategy. We want to find local extrema, so if we have a function of two variables, you compute the partial derivatives and you either see where they don’t exist…