Question

look at this table:
x | y
12 | 6
15 | 19
8 | 12
13 | 11
-1 | 9
-3 | -9
is this relation a function?
yes no

Explanation:

Step1: Recall the definition of a function

A relation is a function if each input (x - value) has exactly one output (y - value). In other words, no two ordered pairs in the relation have the same x - value with different y - values.

Step2: Check the x - values in the table

We list out the x - values from the table: 12, 15, 8, 13, - 1, - 3.

Now we check if any x - value is repeated. Looking at the x - values: 12 appears once, 15 appears once, 8 appears once, 13 appears once, - 1 appears once, and - 3 appears once. Since each x - value is unique (each input has only one corresponding output), the relation satisfies the definition of a function.

Answer:

yes