Functions | Coordinate Plane | Graphs Full Course

http://www.greenemath.com/

In this course, we will learn about the rectangular coordinate system, functions, and graphs of common functions. Additionally, we will discuss the topic of function transformations. We will answer questions such as: what is a function in math? How do we graph functions on the coordinate plane? How do we perform transformations with functions?

00:00:00 The Coordinate Plane
00:20:01 Distance Formula
00:39:52 Vertices of a Right Triangle
00:54:35 Collinear Points
01:08:50 Midpoint Formula
01:26:05 Plotting Complex Numbers
01:32:06 Absolute Value of a Complex Number
01:46:27 Distance and Midpoint Complex Plane
02:05:13 Equation of a Circle
02:37:03 What is a Function? Relations and Functions Definition
02:57:46 Domain and Range
03:23:39 Vertical Line Test
03:39:09 Function Notation
03:58:00 Graphing Linear Functions
04:25:52 Finding the Slope of a Line
04:51:14 Equations of Lines: Slope-Intercept, Point-Slope, Standard Form
05:15:23 Parallel and Perpendicular Lines
05:41:39 Graphs of Basic Functions
06:01:55 Piecewise-Defined Functions
06:26:39 Increasing, Decreasing, and Constant Intervals
06:47:01 Function Transformations: Stretching and Shrinking
07:09:59 Function Transformations: Reflecting
07:40:07 Even and Odd Functions
08:10:10 Horizontal and Vertical Shifts
08:35:34 Operations of Functions
09:03:21 Difference Quotient
09:23:29 Composition of Functions