plumiGraphs of functions and curve sketching: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 2.7 Graphs of functions and curve sketching, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 8 questions on Graphs of functions and curve sketching, as a list
- June 2025, Pure 1, Q7 (7 marks): O 2 –1 –75 5 C x y Figure 1 Figure 1 shows a sketch of a curve C with equation y = f(x), where f(x) is a quartic expression in x. The curve • has maximum turnin
- June 2025, Pure 2, Q8 (9 marks): O C y x Figure 2 f x x x x ax 4 3 2 1 3 8 17 3 where a is a constant. Figure 2 shows a sketch of the curve C with equation y = f (x) Given that C has a local
- June 2024, AS Pure, Q5 (9 marks): The curve C1 has equation y = 6 x + 3 (a) (i) Sketch C1 stating the coordinates of any points where the curve cuts the coordinate axes. (ii) State the equations
- June 2023, AS Pure, Q4 (5 marks): (a) Sketch the curve with equation y k x x 0 where k is a positive constant. (2) (b) Hence or otherwise, solve 16 2 x (3)
- June 2022, Pure 1, Q6 (6 marks): (2, 8) C x 6 O y Figure 1 Figure 1 shows a sketch of a curve C with equation y = f (x) where f (x) is a cubic expression in x. The curve • passes through the or
- June 2022, AS Pure, Q7 (7 marks): (a) Factorise completely 9x – x3 (2) The curve C has equation y = 9x – x3 (b) Sketch C showing the coordinates of the points at which the curve cuts the x‑axis.
- June 2019, Pure 1, Q13 (11 marks): The curve C with equation y p x x q x = − − + 3 2 3 ( )( ) x , x x ≠− ≠ 3 2 , where S and q are constants, passes through the point 3 1 2 , ⎛ ⎝⎜ ⎞ ⎠⎟ and has
- June 2019, AS Pure, Q7 (8 marks): The curve C has equation y = k x 2 + 1 x \, x 0 where k is a constant. (a) Sketch C stating the equation of the horizontal asymptote. (3) The line l has equ
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