A-LevelMathematicsFunctions9709/33 · Oct/Nov 2021 · Q24 Marks

Sketch the graph of y = |2x – 3|.

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

[B1] Show a recognizable sketch graph of y = |2x−3|
[M1] Find x-coordinate of intersection with y = 3x + 2
[A1] Obtain x = 1/5
[A1] State final answer x > 1/5 only
[M1] Solve the linear inequality 3−2x < 3x + 2, or corresponding equation
[A1] Obtain critical value x = 1/5
[A1] State final answer x > 1/5 only
[M1] Solve the quadratic inequality (2x−3)² < (3x+2)², or corresponding equation
[A1] Obtain critical value x = 1/5
[A1] State final answer x > 1/5 only

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Topic: Functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source: A-Level Mathematics, Oct/Nov 2021 Paper 3 Variant 3, question 2.

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