Question

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

Option A. Yes, because there are two x-values that are the same.
Option B. No, because two of the y-values are the same.
Option C. No, because one x-value corresponds to two different y-values.
Option D. Yes, because every x-value corresponds to exactly one y-value.

Answer 1

The table with points (1,5), (2,10), (3,7), and (4,14) represents a function because each distinct x-value is associated with exactly one y-value, satisfying the definition of a function.

Step-by-step explanation:

The question is whether a given table represents a function. The table contains points (1,5), (2,10), (3,7), and (4,14), which can be used to plot a graph and show the dependence of y on x. In a function, every x-value must correspond to exactly one y-value. Observing the given pairs, each x-value is unique and is paired with exactly one y-value. Thus, the table does represent a function.

Therefore, the correct answer to the question 'Does this table represent a function?' is Option D: Yes, because every x-value corresponds to exactly one y-value.