Let A = { 2 , 4 } and B = { 1 , 3, 5 } and define relations U, V, and W from A to B as follows: For every ( x , y ) ∈ A × B : ( x , y ) ∈ U means that y − x > 2 . ( x , y ) ∈ V means that y − 1 = x 2 . w = { ( 2 , 5 ) , ( 4 , 1 ) , ( 2 , 3 ) } . a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and Ware functions.
Let A = { 2 , 4 } and B = { 1 , 3, 5 } and define relations U, V, and W from A to B as follows: For every ( x , y ) ∈ A × B : ( x , y ) ∈ U means that y − x > 2 . ( x , y ) ∈ V means that y − 1 = x 2 . w = { ( 2 , 5 ) , ( 4 , 1 ) , ( 2 , 3 ) } . a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and Ware functions.
Solution Summary: The author explains the arrow diagrams of U, V
Let
A
=
{
2
,
4
}
and
B
=
{
1
,
3,
5
}
and define relations U, V, and W from A to B as follows: For every
(
x
,
y
)
∈
A
×
B
:
(
x
,
y
)
∈
U
means that
y
−
x
>
2
.
(
x
,
y
)
∈
V
means that
y
−
1
=
x
2
.
w
=
{
(
2
,
5
)
,
(
4
,
1
)
,
(
2
,
3
)
}
. a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and Ware functions.
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY