Chapter 3

Video Instruction

Section 3.1

Functions

3.1.1 - Definition of a Function; Evaluating functions at a specific point (8:59)

	3.1.2 - Finding the Domain of a Function (8:09)
	3.1.3 - Operations on Functions (6:35)
	3.1.4 - Finding the Domain of Functions with Operators (6:25)

Section 3.2

The Graph of a Function

3.2.1 - Finding the Domain and Range of a Function given its Graph (Vertical Line Test) (8:10)

Section 3.3

Properties of Functions

	3.3.1 - Increasing, Decreasing and Constant functions (8:12)
	3.3.1.5 - Definition of Local Extremes (4:51)

3.3.2 - Even and odd functions (6:00)

Section 3.4

Library of Functions; Piecewise-defined Functions

	3.4.1 - A Library of Functions (7:53) IMPORTANT: You must memorize the graphs of the functions discussed in this lecture.
	3.4.2 - Piecewise defined functions (7:48)

Section 3.5

Graphing Techniques: Transformations

3.5.1 - Vertical and horizontal shifts (8:40)

3.5.2 - Compressing and Stretching a function (7:13)

	3.5.3 - Reflection of functions about the x-axis and y-axis (4:59)
	3.5.4 - Horizontal Stretches and Compressions (6:28)
	3.5.5 - A summary of transformations (10:04)

Section 3.6

Mathematical Models: Building Functions

3.6.1 - An example of a demand equation (8:42) Please note: In the example in this lecture there are actually two solutions to Part (C). One solution is x = 35 the other is x = 965.

3.6.2 - Enclosing a rectangular field (6:59)

3.6.3 - Constructing an open box (6:26)

	3.6.4 - Constructing an open box with a fixed volume (6:46)
	3.6.5 - Constructing geometric shapes with a wire (10:27)