How often Functions, domains and graphs is asked

4 of 5

papers asked it
avg 25 marks · last Supp 2026

Worth 2–5 marks when it appears as a written question, plus 8 multiple-choice items.

Where it was asked

The questions

  1. Oct/Nov 2024, Q7.14 marks

    Four functions are defined for this question: f(x) = 4x^2 - 5x + 1; g(x) = 2*sqrt(2 - x/2) - x; h(x) = -(1/2)x + 3; and l(x) = log base 4 of (x+3) minus log base 4 of (x-2). For the function f(x) = 4x^2 - 5x + 1, state the domain D_f of f, and then solve the inequality f(x) ≤ 0.

  2. Oct/Nov 2024, Q7.24 marks

    Four functions are defined for this question: f(x) = 4x^2 - 5x + 1; g(x) = 2*sqrt(2 - x/2) - x; h(x) = -(1/2)x + 3; and l(x) = log base 4 of (x+3) minus log base 4 of (x-2). Using the function g(x) = 2*sqrt(2 - x/2) - x, solve the equation g(x) = -4.

  3. Oct/Nov 2024, Q7.34 marks

    Four functions are defined for this question: f(x) = 4x^2 - 5x + 1; g(x) = 2*sqrt(2 - x/2) - x; h(x) = -(1/2)x + 3; and l(x) = log base 4 of (x+3) minus log base 4 of (x-2). Using the function h(x) = -(1/2)x + 3, solve the equation 4^(h(x)) = 8.

  4. Oct/Nov 2024, Q7.44 marks

    Four functions are defined for this question: f(x) = 4x^2 - 5x + 1; g(x) = 2*sqrt(2 - x/2) - x; h(x) = -(1/2)x + 3; and l(x) = log base 4 of (x+3) minus log base 4 of (x-2). For the function l(x) = log base 4 of (x+3) minus log base 4 of (x-2), state the domain D_l of l, and then solve l(x) = 1/2.

  5. Oct/Nov 2023, Q6.14 marks

    Four functions are defined: f(x) = 4x^2 - 5x + 1; g(x) = 2*sqrt(2 - x/2) - x; h(x) = -(1/2)x + 3; and l(x) = log base 4 of (x+3) minus log base 4 of (x-2). Given f(x) = 4x^2 - 5x + 1, state the domain D_f of f and then solve the inequality f(x) ≤ 0.

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