Question

2. Which table below represents a function?

-2
0
-2
4
16
21
26
31
-4
3
1
-4
2
-3
7
9
O
-2
1
10
4
1
2
3
4
O
-3
8
10
8
Y
16
21
26
31

Answer 1

A table represents a function if each x-value (input) is paired with at most one y-value (output). We need to find a table where each x-value is unique and does not repeat with a different y-value.

Step-by-step explanation:

To determine which table represents a function, we look for a one-to-one relationship between each x-value (input) and the corresponding y-value (output). A function is defined such that for every x-value, there is at most one y-value associated with it. If an x-value is paired with more than one y-value, then the table does not represent a function.

Upon reviewing the tables provided, we disregard extraneous data and focus on pairs of numbers where the first number can represent an x-value and the second number a y-value.

We are looking for a table where each x-value is unique. Any table where an x-value repeats with a different y-value is not a function.