Review of Functions and Function Notation
Channel: Paul King
Date: 2017-01-05

This video is about Functions, covered in an unusual way for Advanced Functions, but it is hoped to expand and broaden student's perspective on the basic ideas of introductory functions.

The video can be considered to be a series of short "sub-videos" expanding on fundamental ideas in Advanced Functions. The sub-topics in this video are:

1. One-to-One Functions
2. Domain and range; Image versus range
3. Into and Onto Functions
4. Piecewise functions and "real-world" functions
5. Neighbourhoods and Limits (students must already understand limit notation): Symmetric neighbourhoods and Deleted neighbourhoods, using a function with a point discontinuity as an example (limit exists at x=c, but is not continuous at (c, f(c))).

Nerdy tech details: This is the first video I've done with its own intro music (from a freebie provided by YouTube). Title cards were done in GIMP. This is also the first video I've made which makes use of "lower thirds", which is that subtitle stuff you occasionally see at the bottom of the screen. This is from public domain stock video purchased from VideoBlocks website. It is actually hoped that putting these sequences in enhances your experience. The words over the lower thirds had to be edited in GIMP and saved with transparency. While the layering of this kind of video over the camera shots appears to be more work, it didn't seem to take longer than most of my other videos. The usual el-cheapo camera was used; audio recorded using Audacity, and all bits assembled using Premiere Elements.

The following playlists contain videos I made, and also very pertinent videos collected from other sources for educational purposes.

Grade 10 Math Playlist: http://bit.ly/1Sj8qOB
Grade 12 Advanced Functions Playlist: http://bit.ly/1OoXhWH
Grade 12 Calculus and Vectors Playlist: http://bit.ly/1Sj8qOB
Grade 12 Data Management (discrete math and stats) Playlist: http://bit.ly/1NSCH1q
Recreational Math Playlist: http://bit.ly/1ZxoBtI

Chemistry Playlist: http://bit.ly/1QSc82x