Question

look at this table:

x	y
-1	0
6	13
7	17
20	7
0	15

is this relation a function?
options: 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 different ordered pairs have the same x - value with different y - values.

Step2: Check each x - value in the table

• For \(x = 19\), the \(y\) - value is \(- 13\).
• For \(x=-1\), the \(y\) - value is \(0\).
• For \(x = 6\), the \(y\) - value is \(13\).
• For \(x = 7\), the \(y\) - value is \(17\).
• For \(x = 20\), the \(y\) - value is \(7\).
• For \(x = 0\), the \(y\) - value is \(15\).

Each \(x\) - value in the table is unique, meaning that each input has exactly one output.

Answer:

yes