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AQA Level 2 Certificate Further Maths

Topic questions Pure mathematics Functions, domain and range

Functions, domain and range

5 questions · 18 marks · about 25 minutes

Functions, domain and range questions

AQA 8365 Functions, domain and range 5 questions

Paper 1: Non-calculator June 2025, Question 1 5 marks

(a)

The function f is given by f(x) = 5 x + 3

Question 1, shown as an image

Work out the domain of the function, giving your answer as an inequality.

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

The function g is given by g(x) = x3 – 4

Question 1, shown as an image

Work out the range of the function, giving your answer as an inequality.

[2]
Reveal mark scheme Mark scheme for question 1(b)
(c)
Question 1, shown as an image
Question 1, shown as an image
Question 1, shown as an image
[2]
Reveal mark scheme Mark scheme for question 1(c)

Paper 1: Non-calculator November 2021, Question 4 5 marks

(a)

The function f is given by f(x) = 3 x – 5

Question 4, shown as an image

Work out the domain of the function.

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

The function g is given by g(x) = x2 – 4 with domain –1 maths symbol x maths symbol 3

Work out the range of the function.

[2]
Reveal mark scheme Mark scheme for question 4(b)
(c)
Question 4, shown as an image
Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(c)

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Prove it by induction
Write ‘clearly’ and move on
Me on the final ‘show that’
Using the formula booklet
Proving it by induction
Writing ‘by symmetry’ to skip half the work
Writing ‘trivially’ and daring the examiner
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Further Maths starter pack

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