plumiIncreasing and decreasing functions: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 4.5 Increasing and decreasing functions, 2021–2025, with its mark scheme and examiner’s report.
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All 5 questions on Increasing and decreasing functions, as a list
- June 2025, Paper 1, Q20 (4 marks): y = 3 3 x – 5x2 + 28x + 11 Show that y is an increasing function for all values of x.
- June 2024, Paper 2, Q10 (2 marks): f is a cubic function. The curve y = f(x) has a minimum point at (a, 0) and a maximum point at (1, b) Tick one box for each statement. True False The tangent to
- June 2023, Paper 2, Q17 (4 marks): The function h is given by h(x) = ax(3x2 – 2) + 5x where a is a positive constant. h is an increasing function for all values of x. Work out the possible values
- November 2021, Paper 1, Q19 (4 marks): y = f(x) is the graph of a cubic function. y < 0 for x < 5 y ⩾ 0 for x ⩾ 5 The function is increasing for x < –1 decreasing for –1 < x < 2 increasing for x > 2
- Specimen, Paper 1, Q19 (4 marks): f(x) = 2x3 – 12x2 + 25x – 11 Use differentiation to show that f(x) is an increasing function for all values of x.
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