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21 votes
V(x) is a function.

3
ол о
2
10
1
15
0
V(x)
True or false ???

V(x) is a function. 3 ол о 2 10 1 15 0 V(x) True or false ???-example-1
User Soturi
by
4.5k points

1 Answer

6 votes

Answer:

The statement 'V(x) is a function'' is False.

Explanation:

Let us make the table from the given mapping

x y

0 0

5 2

5 1

10 2

15 3

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

If we observe the table, it is clear that x = 5 is repeated twice. It means the input x = 5 is duplicated.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, V(x) is not a function.

Hence, the statement 'V(x) is a function'' is False.

User Amer Sawan
by
4.8k points