Unit 2: Functions
Topic 2.14: Odd, even & self-inverse (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.14. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Determine2 marks
2026
Determine whether f(x) = x³ + x is odd, even or neither.
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2026
Determine whether f(x) = 2x⁴ − 3x² + 7 is odd, even or neither.
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2026
Show that f(x) = 6 − x is self-inverse.
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2026
Which function is one-to-one on all of ℝ (so has an inverse without restriction)?
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2026
The graph of a self-inverse function is symmetric in:
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2026
Write down whether is odd, even or neither.
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2026
Find f⁻¹ for f(x) = (3x − 1)/(x + 2), and state its domain.
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2026
Show that f(x) = x√(1 − x²), for −1 ≤ x ≤ 1, is an odd function.
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2026
Determine whether f(x) = (x + 4)/(x − 1) is self-inverse.
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2026
Given that g is odd and ∫₀⁵ g(x) dx = 7, find ∫₋₅⁵ g(x) dx and ∫₋₅⁰ g(x) dx.
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2026
f(x) = eˣ. Is it odd, even or neither? Justify.
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