Cambridge Additional Mathematics

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38 Functions (Chapter 2)

Example 1 Self Tutor

Which of the following relations are functions?

abc

a

a function

b

a function

c

not a function

EXERCISE 2A.1

1 Which of the following sets of ordered pairs are functions? Give reasons for your answers.

a f(1,3),(2,4),(3,5),(4,6)g b f(1,3),(3,2),(1,7),(¡ 1 ,4)g

c f(2,¡1),(2,0),(2,3),(2,11)g d f(7,6),(5,6),(3,6),(¡ 4 ,6)g

e f(0,0),(1,0),(3,0),(5,0)g f f(0,0),(0,¡2),(0,2),(0,4)g

2 Use the vertical line test to determine which of the following relations are functions:

3 Give algebraic evidence to show that the relation x^2 +y^2 =16 is not a function.

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_02\038CamAdd_02.cdr Thursday, 19 December 2013 4:28:41 PM BRIAN