Unit 2: Functions
Topic 2.16: Modulus functions (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.16. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
31 mark
2026
Compared with y = f(x), the graph of y = |f(x)|:
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Unlock Question13Sketch3 marks
2026
Sketch y = |x² − 1|, stating where it touches the x-axis.
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Unlock Question14Describe3 marks
2026
Given f(x) = x² − 4x + 3, describe y = f(|x|).
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Unlock Question15State3 marks
2026
f(x) = x² − 1. State the asymptotes of y = 1/f(x).
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Unlock Question16Explain2 marks
2026
y = |f(x)| is given to have minimum value 0 wherever f cuts the x-axis. Explain why.
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Unlock Question17Write2 marks
2026
Write y = |3 − x| as a piecewise function.
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Unlock Question181 mark
2026
If f has a vertical asymptote at x = 5, then 1/f has, at x = 5:
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