Cambridge Additional Mathematics

44 Functions (Chapter 2)

For example, consider the domains in the table opposite:

Click on the icon to obtain software for finding the

domain and range of different functions.

f(x) Natural domain

x^2 x 2 R

p

x x> 0

1

x

x 6 =0

1

p

x

x> 0

Example 5 Self Tutor

For each of the following graphs, state the domain and range:

ab

ab

EXERCISE 2C

1 For each of the following graphs, state the domain and range:

abc

de f

gh i

DOMAIN AND

RANGE

y

x

(4 3),

(8 -2),

O

y

x

(-1 3),

O

Domain is fx:x 68 g

Range is fy:y>¡ 2 g

Domain is fx:x 2 Rg

Range is fy:y>¡ 1 g

y

x

(2 -1),

O

y

x

(0 2),

O

y

x

(1 -1),

O

y

x

(6)Qw, Qr

O

y

x

(2 -2),

(-1 2),

(-4 -3),

O

y

x

y=-2

O

y

x

x = -2 x = 2

-1

O

y

x

y=-1

x=2

O

y

x

(-1 1),

(5 3),

O

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_02\044CamAdd_02.cdr Thursday, 19 December 2013 5:47:58 PM BRIAN