Dr. McDonald's Mathematics Course Blog
Complete the questions in the file attached here and submit your work electronically (as a PDF).
Your file should be received before the beginning of our lesson on Sunday, November 13th. Note that the two bonus questions are optional, but I would encourage everyone to try at least one!
As always, you can write any questions you have about the assignment below in the comments section.
For tomorrow’s lesson complete the following questions.
Pages 110–112 questions 28, 30, 31, 43
Also, see if you can answer the following question: Is the sum of two odd functions always an even function? (And similarly, is the sum of two odd functions always an odd function?)
Complete the following question for our next lesson on Tuesday. Remember, you can leave a comment below if you run in to any trouble with these!
Consider the quadratic function \(f(x) = 2x^2 + 4x -16\).
Try to answer these questions for our next lesson. Can you suggest an answer to question 3?
Consider the functions given below.
\[f(x)=x^3-2x\qquad g(x)=x^2+4x\qquad h(x)=2x^2+5x-1\]
Here’s the function that was introduced at the end of the last lesson.
\[f(x) = \frac{5x-6}{x+2}\]
Can you determine the \(x\)-axis intercepts and any asymptotes for the graph of \(y=f(x)\)?
We’ll discuss this question in today’s lesson.
On Tuesday, October 18th we’ll have a test on transformations of functions.
The following questions will be useful in preparing for the test.
Pages 84–85 questions 1, 2, 4, 19
Pages 86–89 questions 5, 6, 13, 14, 23
Update: Not that calculators will not be permitted for this test.
On Wednesday, September 28th we’ll have our first HL test on composite and inverse functions.
The following list of questions should be completed as part of your review of this material, and we can discuss any problem you may be having in class before the test.
Pages 85–89 questions 1 to 4, 9 to 11, 15 to 22
Complete the following questions for Sunday, the 18th of September.
Composite Functions
Pages 60–61 questions 1, 2, 5, 6, 9, 10, 12, 17, 19, 24, 25
Inverse Functions
Pages 68–69 questions 15, 16, 17, 24, 30, 31, 34, 35, 36, 37, 38
Let \(f(x)=x^2\) and \(g(x)=x-1\).
Attached below are the final review notes for the summer.
Derivatives Review Notes (Complete)
Again, this document contains all prior review notes, so you won’t need to refer to the earlier versions when working through this material.
The newly added sections focus on using the graph of the derivative (and the second derivative) to discover features of the graph of the original function, as in applications of Calculus it’s often the case that we understand more about the derivative than we do about the original function.
Also included below is your assignment, due on the 29th of August (your second day back). I’ve marked the last two questions (4 and 5) with a star, as they are optional (though I would strongly encourage you to do those as well). As always, post any questions below!