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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
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