O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2016 · Q214 Marks

The table shows the values of the function f(x) for some values of x. x | 1 | 2 | 3 | 4 | 5 ----|---|---|---|----|---- f(x)| 5 | 7 | 9 | 11 | 13 Express the function f(x) in terms of x.

(a)The table shows the values of the function f(x) for some values of x. x | 1 | 2 | 3 | 4 | 5 ----|---|---|---|----|---- f(x)| 5 | 7 | 9 | 11 | 13 Express the function f(x) in terms of x.[1]
(b)(i)g(x) = (8 - 3x) / 2 Evaluate g(-2).[1]
(b)(ii)g(x) = (8 - 3x) / 2 Find g^-1(x).[2]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

[1] (a) 2x + 3 oe
[1] (b) (i) 7
[2*] (b) (ii) (8-2x)/3 oe final answer
B1 for 3x = 8 - 2y or 3y = 8 - 2x or 2x = 8 - 3y or 2y = 8 - 3x or 1.5x = 4 - y or 1.5y = 4 - x or (8-2y)/3 oe seen or (8-2x)/3 oe seen

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About this question

Topic

Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.

Source

O-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 21.

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