Question

1. select the boxes to identify whether each set of ordered pairs is a function or is not a function.

	function	not a function
{(1,3), (2,5), (4,9), (4,13)}
{(1,3), (2,5), (3,9), (6,13)}
{(1,3), (2,5), (4,9), (6,13)}

Explanation:

Step1: Define a function rule

A function is a relation where each input (x-value) has exactly one output (y-value). No repeated x-values allowed.

Step2: Check first set

Set: $\{(1,3), (1,5), (4,9), (6,13)\}$
Repeated x-value: $1$ maps to $3$ and $5$.

Step3: Check second set

Set: $\{(1,3), (2,5), (4,9), (4,13)\}$
Repeated x-value: $4$ maps to $9$ and $13$.

Step4: Check third set

Set: $\{(1,3), (2,5), (3,9), (6,13)\}$
All x-values ($1,2,3,6$) are unique, each has one y-value.

Step5: Check fourth set

Set: $\{(1,3), (2,5), (4,9), (6,13)\}$
All x-values ($1,2,4,6$) are unique, each has one y-value.

Answer:

Set of Ordered Pairs	Function	Not a Function
$\{(1,3), (2,5), (4,9), (4,13)\}$		✅
$\{(1,3), (2,5), (3,9), (6,13)\}$	✅
$\{(1,3), (2,5), (4,9), (6,13)\}$	✅