IB Maths AI HL Sl 2 3 Graphing Functions Questions

Practise sketching or interpreting functions and technology graphs, applying transformations and connecting limiting or turning behaviour 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.

[Maximum number: 3]

A student investigating the relationship between chemical reactions and temperature finds the Arrhenius equation on the internet.

k=A \mathrm{e}^{-\frac{c}{T}}

This equation links a variable k with the temperature T, where A and c are positive constants and T>0.

Given that $\lim_{T\to\infty}k=A$ and $\lim_{T\to0}k=0$ , sketch the graph of k against T.

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IB Maths AI HL Sl 2 3 Graphing Functions Questions question 1