plumiExponential functions and graphs: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on F.1 Exponential functions and graphs, 2018–2025, 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 Exponential functions and graphs, as a list
- June 2025, Paper 1, Q1 (1 mark): The equation of a curve is given by y = 3ex Find an expression for dy dx Circle your answer. [1 mark] 3e–x 3e1 3ex 3xex–1
- June 2025, Paper 1, Q7 (2 marks): It is given that 0 < a < 1 Sketch the graph with equation y = ax on the axes below. [2 marks] x O y
- June 2025, Paper 3, Q3 (1 mark): The function f is defined by f(x) = ex for x ∈ ℝ Identify which one of the following statements describes the function f Tick (✓) one box. [1 mark] Decreasing a
- June 2024, Paper 2, Q18 (7 marks): A particle is moving in a straight line through the origin O The displacement of the particle, r metres, from O, at time t seconds is given by r = p + 2t – qe –
- June 2024, Paper 3, Q3 (1 mark): One of the graphs shown below cannot have an equation of the form y = ax where a > 0 Identify this graph. Tick (✓) one box. [1 mark] y x O y x O
- June 2023, Paper 3, Q5 (3 marks): A curve has equation y = 3e2x Find the gradient of the curve at the point where y = 10 [3 marks]
- November 2020, Paper 2, Q1 (1 mark): Which one of these functions is decreasing for all real values of x? Circle your answer. [1 mark] f (x) = ex f (x) = −e1−x f (x) = −ex−1 f (x) = −e−x
- June 2019, Paper 1, Q2 (1 mark): Given y = ekx , where k is a constant, find dy dx Circle your answer. [1 mark] dy dx = ekx dy dx = kekx dy dx = kxekx−1 dy dx = ekx k
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