IB Maths AI HL Sl 2 3 Graphing Functions Topic Practice

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

Question 1

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

k=Ae−cTk=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→∞k=A\lim_{T\to\infty}k=A and lim⁡T→0k=0\lim_{T\to0}k=0, sketch the graph of k against T.

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