Question

does the following data represent a function?
x | -8 -2 0 12
y | 4 4 4 4
yes
no

Explanation:

Step1: Recall the definition of a function

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

Step2: Analyze the given data

The x - values in the data are - 8, - 2, 0, and 12. Each of these x - values is paired with the y - value 4. Let's check each x - value:

• For x=-8, the y - value is 4.
• For x = - 2, the y - value is 4.
• For x=0, the y - value is 4.
• For x = 12, the y - value is 4.

We can see that each x - value is unique (no repeated x - values) and each x - value has only one corresponding y - value (in this case, all y - values are 4, but the key is that each x has one y). So, according to the definition of a function, this relation is a function.

Answer:

Yes