(C). (D). David. 3. Alice girl. 10. 4. Tom boy. 16. 5. Falguni. 6. Sasha. 18. 8. 9. Exercise 2: A person's age is a function of the person. David. The set of elements.
Functions Vocabulary : - function – set – to be mapped onto – image – arrow - diagram – domain - range A function is a relation where each element from one set is mapped onto a single element (image) in a second set. element
function
image
Exercise 1: Which arrow diagrams, (A) – (D), show functions and which show non-functions? (A) (B) 6 Stadtlohn Germany 2 8 Galway Kenya 3 9 Lisbon Ireland 4 12 Nairobi Portugal (C) David Alice Tom Falguni Sasha
(D) girl boy
10 16 18
3 4 5 6 8 9
Exercise 2: A person's age is a function of the person. David The set of elements
Alice
13
being mapped is
Tom
14
The set of images is called
called the domain
Falguni
15
the range of the function
of the function
Sasha
16
Paul (i) Which elements in the domain map onto 14? (ii) Which element in the range is the image of Sasha? Exercise 3: The following arrow diagram is for the function « multiply by 2 ». x
2x
(i) What is the missing number in the domain?
1
2
(ii) What is missing from the range?
4
?
?
11
Exercise 4: (i) Draw an arrow diagram for the function « substract 4 ». Use the set of numbers {7;3;0;-2} as the domain. (ii) Write down the set of numbers which form the range. Exercise 5: (i) Draw an arrow diagram from the set {2;3;5} onto the set {20;24} for the relation « is a factor of ». (ii) Explain why « is a factor of » is not a function for these two sets.
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