Exercises-Functions-2

Exercises-Functions-2 - Figure 1: Diagrams for Exercise 1)...

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Unformatted text preview: Figure 1: Diagrams for Exercise 1) . MA100, Fall 2010, PART 1: Precalculus Functions - Exercises - 2 1) Which of the diagrams a) to f) represents a function? If a function, state its domain, range and whether it is one-to-one or onto. (Why? for all questions.) For each function that is invertible write its inverse. 2) Let A be the set of people of the world. Consider f : A R , with f ( x ) = height of x in meters . If this function one-to one? Is it onto? (why?) 3) Let A be the set of Canadian cities and B the set of Canadian provinces and territories. Define f : A B with f ( a ) = the province or the territory to which a belongs , and g : B A with g ( b ) = the city that is a capital of the province of territory b a) What is f (Edmonton)? What is f (Barrie)? What is g (British Columbia)? What is g (Winnipeg)? a) Is f one-to-one? It is onto? Why? b) Is g one-to-one? It is onto? Why?...
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Exercises-Functions-2 - Figure 1: Diagrams for Exercise 1)...

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