Unit 2: Functions
Topic 2.8: Rational Functions Questions
Practice 14 exam-style questions for IB Math AA SL Topic 2.8. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1State2 marks
2026• Aimnova practice — 2.8.1
State the domain and range of y = 1/x.
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2026• Aimnova practice — 2.8.2
Write down the horizontal asymptote of y = (3x − 1)/(x + 5).
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2026• Aimnova practice — 2.8.2
Write down the vertical asymptote of y = (3x − 1)/(x + 5).
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2026• Aimnova practice — 2.8.1
Write down the equations of the two asymptotes of y = 1/x.
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2026• Aimnova practice — 2.8.2
For y = (x + 2)/(x − 3), find (a) the vertical asymptote, (b) the horizontal asymptote.
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2026• Aimnova practice — 2.8.2
The line x = 2 is the vertical asymptote of y = (5x − 3)/(x − k). Find the value of k.
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2026• Aimnova practice — 2.8.1
State the asymptotes of y = 1/(x + 2) − 1.
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2026• Aimnova practice — 2.8.1
For y = 2/(x − 1) + 3, write down (a) the vertical asymptote, (b) the horizontal asymptote, and (c) the y-intercept.
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2026• Aimnova practice — 2.8.2
Find the x-intercept of y = (2x − 6)/(x + 1).
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2026• Aimnova practice — 2.8.2
For y = (4x + 8)/(x − 2), find (a) the x-intercept and (b) the y-intercept.
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2026• Aimnova practice — 2.8.2
A function is f(x) = (2x + 1)/(x − 4). State (a) the equations of the two asymptotes and (b) the coordinates of the y-intercept.
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2026• Aimnova practice — 2.8.1
Find the y-intercept of y = 1/(x − 2) + 3.
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2026• Aimnova practice — 2.8.1
The graph of y = 1/x is translated 4 units right and 1 unit down. Write down the equation of the new graph and its asymptotes.
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2026• Aimnova practice — 2.8.1
Explain why the graph of y = 1/x has no y-intercept.
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