Question

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

Answer 1

Answer: It is a function

Explanation:

One way to tell if it is a function or not, is to look at the X and Y. While 2 different X values can get the same Y value, one X value should not have 2 different Y values. In the table you can see, there are no repeating X values that have different Y values.

EXAMPLES:

(14, 15)

(13,15)

If these two showed up in a table, it could still be a function

(14, 15)

(14, 16)

If these pairs showed up in a table, than it would not be considered a function

Answer 2

A Yes, because every x value corresponds to exactly one y value

Explanation:

A function has a one to one correspondence, or every x goes to only one y value

Since each x goes to only 1 y value this is a function