Questions.

2.
- Find the inverse function of y = -x2– 9 [3 marks]
- Sketch the inverse function [3 marks]
3.
The polynomial 5x3 + 10x2 – 3 x + 2 has three roots α, β and γ
a) Find αβγ(α+β+γ) [1 marks]
b) Find α2 + β2 + γ2 [3 marks]
4.
Sketch y = x3 – 3x
5.
Sketch y = x4 – x2
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.
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26/5
Question 4.
Question 5.
Question 6.
a)
b)

Question 7.