Complete the following questions before our next lesson.
Exercise 5E questions 2b, 3, 5, 6, 7
Exercise 5F questions 1, 2, 3b, 4c, 6
11 SL Horizontal Stretches
Complete the following questions before tomorrow’s class.
Exercise 5D questions 3b, 4a, 5c, 6b
11 SL Vertical Stretches
Complete the following questions before our next lesson.
Exercise 5D questions 1ade, 2c, 6a
11 SL Translations
Complete the following questions for our next class.
Exercise 5C questions 2ac, 4bd, 5ab, 6
11 SL Exponents and Logarithms Test
Following our discussion on Thursday, the test on Exponents and Logarithms (Chapters 3 and 4 in our textbook) will be on Tuesday, November 28th. Calculators will be permitted.
Review Questions
Exercise 3D.2 questions 1ade, 2 adg, 3a
Review Set 3A questions 2, 5, 9, 11
Review Set 3C questions 10, 11
Review Set 4A questions 1abf, 2–5, 7, 8, 11, 12
Review Set 4B questions 3, 4, 5, 6, 8, 10
Review Set 4C questions 2, 7, 8, 9
There are two files linked below: the first contains questions only, and the second contains both questions and solutions (one of the questions will be familiar). You might want to use the questions below as an at-home practice test. Give yourself about one hour to answer the questions, then check your answers.
11 SL Logarithms: Change of Base + Applications
Complete the following questions before class on Monday (these questions will be useful as part of your preparation for the test on Tuesday).
Exercise 4E 1, 3, 6abe, 7a
Exercise 4F 1ab, 3a, 4
Exercise 4H 1, 7, 8, 11
11 SL Laws of Logarithms
Use the laws of logarithms to answer the following questions for the start of our next class on Thursday.
Exercise 4C.1 questions 1adghko, 2adg, 3ad, 4de, 5ad, 6abde, 7c Exercise 4C.2 questions 1aef, 2ace, 4abd
Exercise 4D.1 questions 1, 2, 4, 6abef
Exercise 4D.2 questions 1abhk, 2ae, 4ab, 5b
11 SL Logarithms
Complete the following questions for our next class.
Exercise 4A questions 1, 2, 6
Exercise 4B questions 1ade, 2adgh, 3abjmqrs, 4, 5, 6acdfgmn
11 SL Modelling with Exponential Functions
Complete the following questions for our class tomorrow. We’ll have a short (1 question) quiz on this material tomorrow. Remember, if you get stuck, just post a comment below!
Exercise Set 3G.1 questions 1–3
Exercise Set 3G.2 questions 1, 4, 5
11 SL Exponential Functions
In class we looked at functions of the form \(f(x)=a\cdot b^x+d\), and we had a brief discussion of the effect of the values of \(a, b,\) and \(c\) on the graph of the function. Below, you’ll extend this treatment to understand the effect of the values of \(a, b, c,\) and \(d\) on the graph of functions of the form \(f(x)=a\cdot b^{x-c}+d\).
Read through Investigation 1 on page 95 of the textbook, and use graphing software (I suggest either GeoGebra or Desmos) to explore the effects of various values on the graph of each function. As discussed in class, using sliders can make it easier to see the effect of each, and you can see an example of this below. (But it’s more fun to try to make your own version of this!)
Once you’ve completed your investigation, complete questions 4 and 5 from Exercise 3F. (Record your answers in your notebook, and then bring your notebook to class!)