Lesson 1.02u

1.02u Functions Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02u, Functions: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. By definition, how many outputs y must a function assign to each input x in its domain?

    • Exactly one
    • At most two
    • Infinitely many
    • At least two

  2. What type of mapping is f: x -> x^2 with domain all real numbers?

    • One-one
    • One-many
    • Many-one
    • Bijective

  3. What is the range of f(x) = x^2 for real x?

    • [-1, infinity)
    • (0, infinity)
    • (-infinity, infinity)
    • [0, infinity)

  4. What is the domain of f(x) = 1/(x - 3)?

    • All real x except x = 0
    • All real x except x = 3
    • All real x
    • x >= 3

  5. If f(x) = x + 1 and g(x) = 2x, what is gf(x) = g(f(x))?

    • 2x + 2
    • 2x + 1
    • 2x
    • x + 2

  6. If f(x) = x + 1 and g(x) = 2x, what is fg(x) = f(g(x))?

    • 2x + 2
    • 2x + 1
    • 2x
    • x + 2

  7. What is the inverse of f(x) = 3x - 5?

    • (x - 5)/3
    • (5 - x)/3
    • 3x + 5
    • (x + 5)/3

  8. What property must a function have for its inverse function to exist?

    • Many-to-one
    • Many-to-many
    • One-to-many
    • One-to-one

  9. In which line is the graph of f^(-1)(x) a reflection of y = f(x)?

    • y = x
    • x = 0
    • y = -x
    • y = 0

  10. For f(x) = x^2 with domain x >= 0, what is the inverse function?

    • sqrt(x)
    • x^2
    • -sqrt(x)
    • 1/x^2

  11. Which classification describes f(x) = x^2 defined for all real numbers?

    • Many-to-many
    • Many-to-one
    • One-to-one
    • One-to-many

  12. If f(x) = 2x - 3 and g(x) = x^2 + 1, what is fg(2)?

    • 2
    • 11
    • 7
    • 9

  13. What is the inverse of f(x) = (2x + 1)/(x - 3)?

    • (3x + 1)/(x - 2)
    • (x - 3)/(2x + 1)
    • (3x + 1)/(x + 2)
    • (3x - 1)/(x + 2)

  14. For f(x) = x^2 - 1 with domain x >= 0, what is the domain of its inverse?

    • x >= 0
    • x >= -1
    • x >= 1
    • All real x

  15. What is the range of f(x) = sqrt(x - 1) for x >= 1?

    • y >= 0
    • All real y
    • 0 < y < 1
    • y >= 1

  16. What is the range of f(x) = x^2 + 4x for real x?

    • y <= -4
    • y >= -4
    • y >= 4
    • y >= 0

  17. For f(x) = (x - 1)^2 + 3 with x >= 1, what is f^(-1)(x)?

    • 3 + sqrt(x - 1)
    • sqrt(x - 3) - 1
    • 1 + sqrt(x - 3)
    • 1 - sqrt(x - 3)

  18. If f(x) = x^2 and g(x) = x - 3, for which x does gf(x) = fg(x)?

    • x = 3
    • x = 2
    • x = 1
    • x = 0

  19. What is the inverse of f(x) = x^3 + 1?

    • (x + 1)^(1/3)
    • (1 - x)^(1/3)
    • x^3 - 1
    • (x - 1)^(1/3)

  20. If f(x) = x + 2 and fg(x) = x^2 + 4x + 5, what is g(x)?

    • x^2 + 4x + 3
    • x^2 + 2x + 3
    • x^2 + 4x + 5
    • x^2 + 4x + 7

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