Higher November 2024 Paper 6 Q11
11
(a) Here is a function.


Complete the diagram below to show the inverse of the function. [2]

(b) Here is another function.

When the input is 5, the output is 8.5.
When the input is 10, the output is 11.
Find the value of \(m\) and the value of \(p\). [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| ÷2 −3 | 2 | B1 each or SC1 wrong order | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(m =\)] 0.5 nfww [\(p =\)] 6 nfww | 5 | M1 for \(5m + p = 8.5\) oe M1 for \(10m + p = 11\) oe AND B2 for \(m = 0.5\) nfww or \(p = 6\) nfww or M1 for \(10m - 5m = 11 - 8.5\) or \(5m = 2.5\) or \(2p - p = 17 - 11\) If 0 scored, instead award SC1 for two answers which satisfy one of the original conditions | Correct answer from trial and improvement scores 5 |