Unit 2: Functions

Topic 2.2: Functions: Domain and Range Questions

Practice 7 exam-style questions for IB Math AI SL Topic 2.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1Write down2 marks
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The function g is defined for −2 ≤ x ≤ 5. The graph of g passes through a minimum at (1, −4) and a maximum at (5, 7).
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2Find3 marks
2026Aimnova original
f(x) = 3x − 5.
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3Find2 marks
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The mapping below shows a relationship between set A = {1, 2, 3} and set B = {4, 6, 8}. Each element of A maps to exactly one element of B.
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4Find4 marks
2026Aimnova original
f(x) = 4x − 7.
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5Find3 marks
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A function is defined as f(x) = √(x − 3) for x ≥ 3.
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6Find5 marks
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g(x) = (x + 2)/3.
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7Find4 marks
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f(x) = 2x + 1 for 0 ≤ x ≤ 4.
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