Question

Does this table represent a function? Why or why not?

OA. Yes, because there is the same number of x-values as y-values.
OB. Yes, because every x-value corresponds to exactly one y-ve.
OC. No, because two of the y-values are the same.
OD. No, because one x-value corresponds to two different y-values.

Answer 1

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

Answer 2

The table represents a function because each x-value corresponds to one and only one y-value, which satisfies the definition of a function.

Step-by-step explanation:

The table containing the points (1,5), (2,10), (3,7), and (4,14) does represent a function because for each x-value, there is exactly one y-value associated with it. The definition of a function in mathematics is such that every x-value has a unique corresponding y-value, creating a dependence of y on x. This means that option OB is correct - Yes, because every x-value corresponds to exactly one y-value. The presence of the same number of x-values as y-values, the sameness of any y-values, or the depiction of the dependence in a graph, like a line graph, does not invalidate the definition of a function.