IB Maths AI SL 2.3 Graphing Functions Questions

Practise sketching or interpreting functions and technology graphs, labelling key features, applying transformations and connecting shape to model parameters.

Exam points

Sketch or interpret a function from its equation, context or technology output, labelling axes, intercepts and other key features.
Use transformations, sums or differences of functions to explain how the graph changes on a stated domain.
Connect graph shape and limiting or turning behaviour to the parameters and meaning of the model.

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Study SL 2.3—Graphing functions conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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A hollow chocolate box is manufactured in the form of a right prism with a regular hexagonal base. The height of the prism is $h \mathrm{~cm}$ , and the top and base of the prism have sides of length $x \mathrm{~cm}$ .

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Sketch the graph of $V=300 \sqrt{3} x-\frac{9}{4} x^{3}$ , for $0 \leq x \leq 16$ .

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IB Maths AI SL 2.3 Graphing Functions Questions question 1