Question

Which of the relations given by the following sets of ordered pairs is not a function?
Select one:
a. {(5,2),(4,2),(3,2),(2,2),(1,2)}
{
(
5
,
2
)
,
(
4
,
2
)
,
(
3
,
2
)
,
(
2
,
2
)
,
(
1
,
2
)
}

b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}
{
(
−
4
,
−
2
)
,
(
−
1
,
−
1
)
,
(
3
,
2
)
,
(
3
,
5
)
,
(
7
,
10
)
}

c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}
{
(
−
8
,
−
3
)
,
(
−
6
,
−
5
)
,
(
−
4
,
−
2
)
,
(
−
2
,
−
7
)
,
(
−
1
,
−
4
)
}

d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}

Answer 1

Answer:

B

Step-by-step explanation:

you cannot have to same x

Answer 2

Hence , Option B  set is not a function

What is a function?

A function is an equation which states relation between x and y variable.

How to solve?

a-{(5,2),(4,2),(3,2),(2,2),(1,2)}

Here, x: x>1 ,x∈N, hence function is possible.

b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}

here ,x can't be established as same x has different values.

c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}

Here, every x has it's unique value hence function can be established.

d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}

Here, every x has it's unique value , hence function can be established.

∴option B - {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)} is one from which we can't establish function.

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