You are to complete this BL by 15/4 11:59pm.
In this BL session, you will be covering:
Chapter 4 Functions
Section 4.2: Composite Functions (Part 2)
Section 4.3: One to One Functions)
Use the following learning activities to master the key concepts. Remember to fill in your lecture notes as you go along!
You should take 1 hour to complete this lesson.
Quick Recall: Last Lesson
Last lesson, we started on Section 4.2 and introduced the idea of Composite Functions. We ended the session working on the Exercise on page 8 to identify the condition for existence of composite functions.
Click on the following link for the solution to the exercise:
Note: For the composite function gf to exist, range of f needs to to be a subset of the domain of g.
Go through the lesson video for Section 4.2 (from page 9).
Start playing the video from 6:00.
Please fill your notes for pages 9 to 13.
(Optional) Geogebra Exploratory Activity - 'Composite Functions' (page 12)
As mentioned in the video above, you may access the geogebra file 'Composite Functions' to observe how the graph of gf is obtained and how the mapping method works.
This second geogebra file 'Condition for existence of composite functions' looks at the condition for fg to exist.
Go through the lesson video for Section 4.3.
Please fill your notes for pages 14 to 15.