Alright, so in this video. I want to talk about what are known as one-to-one and onto functions So eventually I’m going to start talking about this in a linear Algebra setting we’ll talk about vectors and linear transformations But at the beginning, you know this is something I’m going to do it a little…

# Tag: algebra

## Composite Functions

– WELCOME TO A VIDEO ON COMPOSITE FUNCTIONS. A COMPOSITE FUNCTION CAN BE THOUGHT OF AS A COMBINATION OF TWO FUNCTIONS. ONE WAY TO ILLUSTRATE THIS WOULD BE TO USE A CONVEYOR BELT WHERE WE HAVE AN INITIAL INPUT OF, LET’S SAY, 3, ONE WAY TO ILLUSTRATE THIS WOULD BE TO USE A CONVEYOR BELT…

## 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…

## 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…

## Ex: Determine if a Table of Values Represents a Function

– WE WANT TO DETERMINE WHICH OF THE FOLLOWING TABLES REPRESENT FUNCTIONS. A FUNCTION IS RELATION IN WHICH EVERY INPUT HAS EXACTLY ONE OUTPUT. SO LOOKING AT THESE TABLES, THE X VALUES WILL BE THE INPUTS AND THE Y VALUES WILL BE THE OUTPUTS. SO IF THESE TABLES ARE FUNCTIONS, WE COULD SAY THAT EVERY…

## 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…

## Continuous, Discontinuous, and Piecewise Functions

It’s Professor Dave, let’s learn about continuity in functions. We’ve just learned about a variety of functions, and up until now, they have all been continuous functions. These are functions where there are no gaps whatsoever. Any X value can act as an input, and we get all the corresponding values for the function as…

## 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…