9709 · topic questions
Functions
12 past-paper questions on Functions
Given instead that fgg(0) = 96, find the value of a.
Practise the full question →The function g is defined by g(x) = 4x+k for x ∈ R where k is a constant. It is given that the graph of y = g⁻¹ f(x) meets the…
Practise the full question →Describe fully a sequence of three transformations which transforms the graph of y = f(x) to the graph of y = g(x).
Practise the full question →The curve y = x^2 is transformed to the curve y = 4(x-3)^2 - 8. Describe fully a sequence of transformations that have been…
Practise the full question →The functions f and g are defined by f(x) = √x for x ≥ 0, g(x) = 3√(x+2) - 5 for x ≥ -2. (a) Describe fully a sequence of…
Practise the full question →In order to transform the curve y = sinx to the curve y = f(x), the curve y = sinx is first reflected in the x-axis. Describe…
Practise the full question →(ii) Find an expression for (gf)⁻¹(x).
Practise the full question →The function h is defined by h(x) = 1/(x²+2) for x ≥ 0. Solve the equation hf(x) = f(25/16). Give your answer in the form a +…
Practise the full question →Solve the inequality | 3x-8|<5-x.
Practise the full question →Find an expression for f¯¹(x) and state the domain of the function f¯¹.
Practise the full question →The function f is defined by f(x) = x² + 4ax + a for x ∈ R, where a is a constant. The function g is such that g⁻¹(x) = √2x-4 for…
Practise the full question →The diagram shows the graphs with equations y = f(x) and y = g(x). Describe fully a sequence of two transformations which…
Practise the full question →
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Functions (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Functions. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Functions questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Functions. Each links straight to instant marking against the official 9709 scheme.
- How are Functions answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Functions first?
- Start with the free Mathematics lesson on Functions, then come back and drill past-paper questions under timed conditions.