Page 47 - Mathematics_Form_3

Functions

20. f ={( , ): is the father of } for which the function is defined. The
21. f = {( , ): = + 4} range of a function f is the set of all
possible output values that the function
22. y can have. So, if the function is of the
form y = f (x ), the domain is the set of
FOR ONLINE READING ONLY
8 all possible values of x, and the range is
the set of all possible values of y.
6
Engage in Activity 2.3 to familiarize

4 yourself with the domain and range of
a function.
2
Activity 2.3: Determining the
domain and range of functions
-4 -2 0 2 4 x

-2 In a group or individually, perform the
following tasks:
23. y 1. Study carefully the following

4 relation formed by pairs of children
and their mothers: (Jane, Grace),
(Asha, Jamila), (Samson, Alice),
3
(Mohamed, Jamila), (Moses,
Grace), (Jane, Lilian), (Peter,
2
Alice), (Hussein, Jamila).
2. Represent the given set of ordered
1
pairs using a pictorial diagram.
3. Write a statement which connects
Mathematics for Secondary Schools 24. A function is defined by 5. Discuss whether or not the relation
x
2
0
1
-1
the set of ordered pairs.
4. Study the pictorial diagram in task
-1
2 and state the extent to which the
relation is realistic.
ax b+ for which ( ) 2f
=
f
( ) x =
1
is a function.
and ( ) 3f −
=
11, find the values of
6. If the relation is not realistic, make
a and b.
make it realistic and state its domain
Domain and range of a function
and range.
The domain and range of a function an appropriate rearrangement to
7. Discuss your final work with the
represent its input and output values,
rest of the class on how you have
respectively. The domain of a function reached at your conclusion.
f is the set of all possible input values
40 Student\s Book Form Three

18/09/2025 09:58:54
MATHEMATIC F3 SB.indd 40 18/09/2025 09:58:54
MATHEMATIC F3 SB.indd 40