Question

Question 10 of 10

Does this table represent a function? Why or why not?
2
1.
4
3
4
4.
слол | |
2
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Answer 1

No, because one x-value corresponds to two different y-values ⇒ D

Explanation:

The relation of x and y can be a function if every x has only one value of y (x not repeated)

Examples:

• The relation {(3, 5), (-4, 6), (0, 5)} is a function because every x has only one value of y

• The relation {(3, 5), (-4, 6), (3, -5)} is not a function because x = 3 has two values of y 5 and -5

Let us check the given table

∵ At x = 2, y = 1

∵ At x = 3, y = 4

∵ At x = 4, y = 4

∵ At x = 5, y = 2

∵ At x = 5, y = 5

∵ x = 5 has two values of y 2 and 5

→ That means x is repeated

∴ Not every x has only one value of y

∴ The table does not represent a function

∴ The right answer is D