Page 43 - Mathematics_Form_3

Functions

Types of functions Generally, there are functions in which
There are several types of functions each value from the domain has only
depending on how they behave or the one value in the range. These are called
input (domain) is related to the output one-to-one functions. There are other
(range). Each type of function has functions in which several values of the
FOR ONLINE READING ONLY
its own unique properties, graph and domain are related to one value of the
equation. range. These functions are called many-
to-one functions.
Engage in Activity 2.2 to identify the
types of functions. Horizontal line test for identifying
one-to-one functions
Activity 2.2: Identifying types A function whose graph is such that any
of functions line drawn parallel to the x- axis crosses
the graph at only one point is called a
1. Study the figures in (a) and (b) then
identify their main differences in one-to-one function.
terms of how the sets of ordered
pairs are related. Example 2.5
2. What is your conclusion based
Study the following figures, hence
on how the sets of ordered pairs
identify the functions which are one-
are related in each pictorial
to-one.
representation?
(a) y
3. What is the name of each type of
function represented by each of the 3
pictorial representation? 2
1
(a)
-4 -3 -2 -1 0 1 2 3 x
Mathematics for Secondary Schools (b) (b) -4 2 1 y
-1
-2
-3

-2
-1
-1 0 1 2 x

-2

36 Student\s Book Form Three

18/09/2025 09:58:52
MATHEMATIC F3 SB.indd 36 18/09/2025 09:58:52
MATHEMATIC F3 SB.indd 36