Question

Does this table represent a function? Why or why not? x:2, 4, 6, 8, 10 y:1, 3, 3, 4, 6 A.No, because two of the y-value are the same. B.Yes, because all of the x-value corresponds to one or more y-values C.Yes, because every x-value corresponds to exactly one y-value. D.No, because one x-value corresponds to two different y-values

Answer 1

C.Yes, because every x-value corresponds to exactly one y-value.

Explanation:

A function is a relation in which each element of the domain (x) is mapped to one element of the range (y). This means that no x can be mapped to more than one y; basically it means that no x can repeat.

In this table, no x repeats; each x is mapped to only 1 y. This means that it is a function.

Answer 2

The correct option is C) Yes, because every x-value corresponds to exactly one y-value.

Explanation:

Consider the provided table:

x y

2 1

4 3

6 3

8 4

10 6

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Or we can say that, a function is a set of ordered pairs in which x element has only one y-element associated with it.

Now observe the table for each x element we have only one y element.

Therefore, the table represent a function.

The correct option is C) Yes, because every x-value corresponds to exactly one y-value.