11 HL Modelling with Trigonometric Functions

In our last class we looked at how we could transform the sine and cosine functions to model periodic behaviour. The questions posted during class are listed below. Try to get through to the end of Section 12D, and we’ll continue with these questions during our next lesson.

Exercise 12C questions 1, 3
Exercise 12D questions 2–4
Exercise 12E question 1
Exercise 12F questions 1, 3, 5, 6def, 8

11 SL Functions Test

We’ll have our functions test on Thursday, the 19th of October.

In order to prepare for this test, have a look at the questions below. We’ll be spending part of Tuesday’s lesson looking at inverse functions and working on these questions, but it’s a good idea to start these early so you can ask questions if you get stuck.

Review Set 2A questions 1–3, 7, 10, 11
Review Set 2B questions 4, 6, 7
Review Set 2C questions 4, 10, 12

11 SL Rational Functions

Your homework for tonight involves work with sign diagrams and rational functions.

Read through Example 9 on sign diagrams on page 68, and see if you can answer the assigned parts of question 2 and 3 (see below) without graphing the given function.

Also read through the textbook section on rational functions (2F), paying particular attention to the discussion of asymptotes. Note that the textbook’s definition of a rational function is actually more limited that the (correct) definition we’ve used, which is how they avoid talking about polynomials in this section.

Complete all of the section 2E questions listed below, and as many of the questions below from 2F as you are able.

Exercise 2E questions 1fhk, 2adg, 3agh
Exercise 2F questions 1bc, 2ab

11 HL Radians

Our next class is the test, so you should have the questions below completed for our lesson on Thursday next week.

Exercise 10A 1abcdghim, 2abc, 3abcdfgh, 4abc
Exercise 10B 1, 5, 7, 8, 10, 13

11 SL Composite Functions

We’ve now discussed domain and range and had an introduction to composite functions. I suggest that you read pages 64–65, and then complete the questions below before our next class on Tuesday.

Exercise 2C questions 1–3, 4aceik
Exercise 2D questions 3, 5–7