Page 11 - Focus SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 1 Functions
(d) Note that a range is the subset of the Discrete function
codomain which contains all mapped f(x)
images. y 2

Domain = set A
Codomain = set B
Range = {travelling, work tour, Range y 1
y 3
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further studies, medical
tourism} y 4
x
0 x 1 x 2 x 3 x 4
Domain = {x 1 , x 2 , x 3 , x 4 }
SPM Tips Range = {y 1 , y 2 , y 3 , y 4 }

Domain Codomain Continuous function
Form 4
f(x)
y 2
Range
Range
y 1

2. Note that 0 x
(a) the domain of a function is a set of possible x 1 Domain x 2
values of x which make the function defined. Domain : x 1 < x < x 2
(b) the codomain consists of the possible values Range : y 1 < y < y 2
of a functions. Absolute value function
(c) the range is a set of values of y obtained after
replacing all values of x into the functions. f(x)

For example, in the following arrow diagram,
Range
x f x + 1
0 x
–1 0
1 Domain
0
2
1
3
2 6
4
Determine the domain and range for each of the
Set X Set Y following functions.
(a)
Domain = {−1, 0, 1, 2} 0
–1 0
Codomain = {0, 1, 2, 3, 4} –2 1 1 4
2 9
Range = {0, 1, 2, 3} –3 16
3
3. The domain and range of a discrete function, (b) {(–4, 0), (–1, 3), (0, 2), (3, 3), (4, –2)}
continuous function and absolute value function
are shown in the following diagrams. (c) Number of children attending a reading camp
Age 4 5 6 7 8 9
Number of children 5 4 12 20 9 11

8