A-LevelMathematicsFunctions9709/22 · May/June 2022 · Q24 Marks

Sketch, on the same diagram, the graphs of y = |2x – 9| and y = 5x – 3.

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

[*B1] Draw V-shaped graph with vertex on positive x-axis
[DB1] Draw (more or less) correct graph of y = 5x-3 with greater gradient crossing x-axis between origin and vertex of first graph
[M1] Attempt solution of linear equation where signs of 2x and 5x are different
[A1] Solve -2x+9=5x-3 to obtain 12/7, 1.71 or better and no second answer
[M1] Attempt solution of 3-term quadratic equation (2x−9)² = (5x-3)² to obtain at least one value of x [7x²+2x-24 = 0]
[A1] Obtain 12/7, 1.71 or better and no second answer

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Topic: Functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source: A-Level Mathematics, May/June 2022 Paper 2 Variant 2, question 2.

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