Page 37 - Mathematics_Form_3

Functions

Generally, a function can be defined as a
‘is a child of’
A B relation that associates each element of
Ibrahim Fatima set X, called the domain of the function
Asha with a single element y of another set Y,
Hussein called the range of the function. Simply,
FOR ONLINE READING ONLY
Beatrice Belina
Simon a function is a special type of a relation
Neema with a property that each input element
Shamsa Zuhura has a unique output.
Rehema

Figure 2.2: Pictorial representation of Example 2.1
the relation “is a child of”
List the coordinates of the mapping in
Based on the observations in Figure 2.1
the following figures.
and Figure 2.2, a relation is therefore a
function if and only if; (a) F
(a) each element in the left-hand side set
–2 – 6
has an arrow leaving from it.
(b) no element on the left-hand side has 0 – 3
more than one arrow leaving from it. 1 0
–1 3
Engage in Activity 2.1 to familiarize
more about functions. Domain Range

Activity 2.1: Identifying functions (b) H
among relations
6
Individually or in a group, perform the
Mathematics for Secondary Schools 1. Review the types of relations (c) Domain Range
5
following tasks:
4
3
covered in Chapter One.
2. Use the knowledge of functions to
identify types of relations which
G
are functions and which are not.
5
3. Illustrate through pictorial diagrams
2
1
the difference between types of
0
relations which are functions and
those which are not functions. –1 6
–2 9
4. Discuss the observed differences
with the rest of the class. Domain Range

30 Student\s Book Form Three

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MATHEMATIC F3 SB.indd 30
MATHEMATIC F3 SB.indd 30 18/09/2025 09:58:49