Question

look at this table:

x	y
-5	13
-2	0
18	1
3	18

is this relation a function?
yes
no

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value).

Step2: Check x - values

Check each x - value in the table:

• For \(x = 0\), \(y=1\) (one output).
• For \(x=- 5\), \(y = 13\) (one output).
• For \(x=-2\), \(y = 0\) (one output).
• For \(x = 18\), \(y=1\) (one output).
• For \(x = 3\), \(y = 18\) (one output).

All x - values have unique outputs (even though \(y = 1\) is repeated for different x - values, the key is each x has one y).

Answer:

yes