Questions.

2.

- Find the inverse function of y = -x
^{2}– 9 [3 marks] - Sketch the inverse function [3 marks]

3.

The polynomial 5x^{3} + 10x^{2} – 3 x + 2 has three roots α, β and γ

a) Find αβγ(α+β+γ) [1 marks]

b) Find α^{2} + β^{2} + γ^{2} [3 marks]

4.

Sketch y = x^{3} – 3x

5.

Sketch y = x^{4}_{ }– x^{2}

6.

- Find the inverse of this function, restrict the domain if required
- Hence, or otherwise, sketch the inverse function

7.

Answers.

1a) -1 is a root

b) The plus three then shifts everything up three places

Labels -1 is x-intercept and 3 is y-intercept

Question 2.

a)

b)

Question 3.

- ⅘
- 26/5

Question 4.

Question 5.

Question 6.

a)

b)

Question 7.