ページ1:

Functions & Mappings
A mapping is a rule that take a given set of inputs and assigns
each one of them one or more output value using a mapping rule.
Here are three types of mappings:
One-to-one mapping
Many-to-one-
-to-one-mapping
One-to-many mapping
Each x-value maps to
More than one x-value
One x-value maps to more than
value
a unique y-
E.g. y = x+1
-2
-1
0
maps to the same
Y-
value
one y-value
2
2
3
E.g. y = x²
-2.
-1
0.
Eg. y²= X
0
N.B. With
more than
many
-to
-one mappings, it is enough that one x-value
-value. Similarly for one-to-many mappings.
one y-v
Relations & Functions
(X,Y)
maps
to
A relation is a set of ordered pairs. Example: {(-3,-1), (-1,9), (0,-7), (4,7),(4,9), (5,
The domain is the set of all of the x- coordinates from the ordered pairs.
9
The range is the set of the
EX: -3,-1,0,4
9
9
4,5
y-
Coordinates from the ordered pairs.
The graph of a relation is the set of points
on a
graph equivalent to the
ordered
Pairs
in the relation.
Ex: -1, 9, 7, 7, 9, 2

ページ2:

Orptions for representing a relation.
1) {(-3,1), (1,9), (0,-7), (4,7), (4,9), (5,-2)} Orders Pairs
domain: -3, -1,0,4,4,5
range: 1,9,7,7,9,-2
5
g
4
-1
-3
1
2
Mapping Diagram
(-1,9)
10
4
(-3,1)
2
-8
-b
-4
-2
(0₁-7)
-2
+-4
(4,9)
(497)
2 4
b
8
10
(5,-2)
☑
Graph