Category: 11 SL Homework

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11 SL Arithmetic Sequences

Complete the following questions before our next class. (We’ve talked about arithmetic and geometric sequences, but for this set of questions you’ll see that the focus is on arithmetic sequences.)

Exercise 6A questions 1ac, 2bc, 3
Exercise 6B questions 1, 2, 3bc, 4bc
Exercise 6C.1 questions 1, 2bc, 3, 4, 6, 7bce, 9a, 10, 11
Exercise 6C.2 questions 1, 2

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11 SL Combinations of Transformations

For homework before next class, answer the following question.

Does the order in which we apply transformations matter? For example, if I begin with the graph of \(y=f(x)\), and I

  • (A) translate by 2 units to the left, and then
  • (B) stretch vertically by a factor of 3,

will I always get the same result as I would if I had begun with the graph of \(y=f(x)\), and I

  • (B) stretch vertically by a factor of 3, and then
  • (A) translate by 2 units to the left?

What if, instead of stretching vertically by a factor of 3, I stretch horizontally by a factor of 3? Does order matter in that case?

Consideration of the function \(f(x)=x^3-2x^2\) may help here.

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11 SL Transformations

We’ve now covered two types of transformations

  • (vertical and horizontal) translations, and
  • (vertical and horizontal) stretches.

Complete the following questions before our next class.

Exercise 5B questions 1, 2, 4, 5
Exercise 5C questions 2, 4, 5, 6, 8
Exercise 5D questions 1acde, 2, 4, 5