Paper 1 · Functions and Graphs ⏱ Tested in 4 exam questions since 2016 Lesson 5 of 10

Functions and Graphs 5: Injective Functions

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You’ll learn

  • Define injective (one-to-one): every output has a unique input
  • Test injectivity with a broken horizontal line — at most one intersection
  • Explain why x² fails the test but 1/x (with x ≠ 0 excluded) passes

Most recent exam questions

  • 2025 P1 Q4(b) — deferred
  • 2023 P1 Q5(c)(ii)
  • 2022 P1 Q6(b)(ii) — deferred
  • 2016 P1 Q5(b)(i)

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