A-LevelMathematicsFunctions9709/22 · May/June 2020 · Q55 Marks

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

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

[B1] Draw V-shaped graph with vertex on positive x-axis
[B1] Draw (more or less) correct graph of y = 3x + 5
[B1] State equation 3x + 5 = -(2x-3) or corresponding inequality
[M1] Attempt solution of linear equation / inequality where signs of 3x and 2x are different
[A1] State answer x < -2/5
Alternative method for question 5(b)
[M1] Square both sides of equation / inequality and attempt solution of 3-term quadratic equation / inequality
[A1] Obtain (eventually) only -2/5
[A1] State answer x < -2/5

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Topic: Functions, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2020 Paper 2 Variant 2, question 5.

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