28 videos in "Intro to Relations and Functions"

Functions

Relations & Functions Part 1

Relations & Functions Part 2

Relations and Functions 1

Relations and Functions 2

Relations and Functions 3

Relations and Functions 4

Relations and Functions 5

[C.4] Enter Function Expression into Y=

[C.5] Making a Table of Ordered Pairs

[C.6] Useable Graph

Inputs and Outputs of functions

Function Notation

Functions in Tabular Form

Cartesian Plot of a Function

Full Functional Form

Overview of functions

Determining if Equations are Functions

Determining if a set of ordered pairs is a function

Evaluating Functions

From Relations to Functions

Learning about Functions

Describing a Relation as a Graph, Table and Map

Functions 12  Even Functions

Functions 13  Odd Functions

Functions 14  Even and Odd Functions

Functions 15  Even and Odd Functions

Determine Whether an Equation is a Function
Relations and Functions 5
 Functions HW  Homework with answers based on functions.
 Functions?  Determine whether a variety of graphs are functions or not.
 Vertical Line Test  Check to see if your graph is a function by using the vertical line test.
 What is a function?  Learn about what functions are and how they work.
 Function Machine Questions  Given an input to a function, determine what the output will be.
 Function Machine  Determine from your own inputs and outputs what the function is.
 Function Notation and Terminology  A summary of what a function is and the terminology for functions.
 What is function notation?
 If P(x) = 3x  2 and Q(x) = x^2 + 1, what is Q(x)  P(x) and Q(x)*P(x)?
 If Q(x) = x^2 + 1, how do you find Q(2x  7)?
 If P(x) = 3x  2, what is P(x+h) and P(x + h)  P(x)?
 If Q(x) = x^2 + 1, what is Q(x + h)  Q(x)?
 If P(x) = 3x  2 and Q(x) = x^2 + 1, what is P(x)  Q(x)?
 If P(x) = 3x  2, what is P(a+h)?
This lesson builds upon the topics learned in the previous lesson in this series by finding the value of functions with a given input, but now there are multiple functions and they are added, subtracted, multiplied, and divided. Some expressions get a bit more complicated than previous problems. This technique is extremely important to understand for Calculus limits.