Cambridge Additional Mathematics

40 Functions (Chapter 2)

EXERCISE 2A.2

1 Which of the following functions are one-one?

abc

de f

2 Determine whether the following relations are functions. If they are functions, determine whether they

are one-one.

abc

3 Consider the car park relation described on page 36.

aiRichard parked his car for 4 hours. How much did he pay?

ii Suppose Susie parked her car forthours. If you know the value oft, can you uniquely

determine how much she paid?

iii Is the car park relation a function?

biJanette paid $ 18 for parking. Can you uniquely determine how long she parked for?

ii Is the car park function one-one?

Function machinesare sometimes used to illustrate how functions behave.

If 4 is the input fed into the machine,

the output is 2(4) + 3 = 11.

The above ‘machine’ has been programmed to perform a particular function. If we usefto represent that

particular function, we can write:

fis the function that will convertxinto 2 x+3.

B Function notation

x

23 x+

I double the

input and

then add 3

input

output

y

O x

y

O x

y

O x

y

O x

y

O x

y

O x

y

O x

y

x

O

y

O x

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_02\040CamAdd_02.cdr Thursday, 5 December 2013 9:19:04 AM GR8GREG