O-LevelAdditional MathematicsFunctions4037/22 · May/June 2013 · Q36 Marks
The diagram shows the graph of a function y = f(x).
- (a)(i)Write down the letter of each graph which does not represent a function.[2]
- (a)(ii)Write down the letter of each graph which represents a function that does not have an inverse.[2]
- (b)The diagram shows the graph of a function y = f(x). On the same axes sketch the graph of y = f⁻¹(x).[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.
- [B2] (a)(i) A and E (1 mark for each B1 for 1 extra, B0 if 2 or more extras)
- [B2] (a)(ii) C and D (1 mark for each B1 if 1 extra, B0 if 2 or more extras)
- [B2] (b) (−1, 0), (1, 3), (3, 4) or B1 for two points correct and joined or for three points correct but clearly not joined
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