Unit 2: Functions
Topic 2.2: Functions, Domain and Range Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1State2 marks
2026
State the domain of g(x) = √(x + 1).
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2026
State the domain of f(x) = 1/(x + 5).
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2025
The tangent to at and the tangent to at both have gradient .
Suggest a reason for this.
Suggest a reason for this.
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2026
The graph of is the reflection of the graph of f in a line. State the equation of that line.
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Unlock Question8Sketch1 mark
2026
On one set of axes, sketch and , marking where each curve meets an axis.
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2026
Write down the range of f(x) = x2 + 2.
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2025
The curves and turn out to have the same greatest curvature.
Suggest a reason for this.
Suggest a reason for this.
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Unlock Question16Write down1 mark
2021
The points and both lie on the curve .
State the output of when the input is .
State the output of when the input is .
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Unlock Question17Sketch1 mark
2026
Sketch the graph of on the same axes.
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Unlock Question20Show that2 marks
2026
The number of bacteria in a culture is modelled by N(t) = B/(2 + 3e−t), where B is a positive constant and t is the time in hours. When t = 0, N = 40.
Show that B = 200.
Show that B = 200.
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