## Composites and Inverse Functions 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

## Composite and Inverse Functions

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

## Applications of Derivatives

Complete the following questions for Sunday, the 18 of September.

Pages 751–752 questions 1–6, 8, 14

## Indefinite Integrals

Complete the following questions on indefinite integrals for tomorrow’s lesson.

Page 780 questions 1, 3, 7, 8, 9, 10, 12, 13, 14

## 12 HL Composite Functions Homework

Let $$f(x)=x^2$$ and $$g(x)=x-1$$.

1. Find the range of $$f$$ and $$g$$, assuming the domain for both is $$\mathbb{R}$$.
2. Find the range of $$f$$ and $$g$$, assuming the domain for both is $$[-2,\infty[$$.
3. Find the value of each of the functions below when $$x=4$$.
a) $$f\circ g$$
b) $$g\circ f$$
4. Find the range of each of the functions in Question 3.

## Finding Derivatives

Here are a few questions to look at that involve applications of the new techniques and results (the chain rule, the product rule, and derivatives of exponential functions) we’re recently covered.

Make sure to start these before our next lesson, and aim to have them completed by Monday.

Pages 715–716 questions 3, 7, 9, 11

Pages 728 questions 1 a b e h i, 4, 6, 9, 10