Introduction to Functions
What is a Function?
Video
This video from patrickJMT explains the notation used to describe functions.
Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.
Patrick JMT’s Website: www.patrickjmt.com.
The Graph of a Function
Video
This video from ProfessorDaveExplains shows how to plot the graph of linear functions.
Note: All Professor Dave Explains content is available for free at www.youtube.com/professordaveexplains.
In this video patrickJMT shows how to plot the graph of a quadratic function.
Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.
Patrick JMT’s Website: www.patrickjmt.com.
Notes
These notes from mathcentre go into more detail on plotting the graph of a function.
A pdf of this document can be downloaded here.
Interactive Exercises
Use GeoGebra graphing calculator below to plot the functions $y=2x-5$, $y=-3x+7$, $y=x^2 + 4$ and $y=-3x^2 + 2x -1$. Adjust some signs/numbers and notice how the graphs change.
Please click here to view this calculator in another window.
The Domain and Range of a Function
Video
This video from Khan Academy explains how to identify the range and domain of some functions.
Note: All Khan Academy content is available for free at www.khanacademy.org.
Notes
These notes from mathcentre (particularly pages 4-7) explain the range and domain of functions in more detail. Try the exercises included to test your understanding of the range, the domain and functions in general.
A pdf of this document can be downloaded here.
