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Cycle 2 - Lesson 10 – Composite Functions In Lessons 8 and 9, you learned four ways of combining functions – sums, differences, products, and quotients. Another type of combined function occurs when one function depends on another. These are called COMPOSITE functions. PREDATOR-PREY relationships – follow along on the Desmos slides The number, R, of rabbits in a wildlife reserve as a function of time, t, in years can be modelled by the function R(t )  50 cos t  100 Domain:

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The number, W, of wolves in the same reserve as a function of time can be modelled by the function W (t )  0.3R(t  2) Domain:

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Compare the graphs for rabbits and for wolves. How are they… 

alike?



different?

Suggest possible reasons for the relationship between these two functions.

Write a simplified equation to model the number of wolves as a function of time.

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Practice Questions – Composite Functions

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ANSWERS to Practice Questions