Question

determine whether the relation is a function. give the domain and the range of the relation. {(2,3),(2,5),(6,3),(6,5)} is this a function? yes no the domain is {}. (use a comma to separate answers as needed.) the range is {}. (use a comma to separate answers as needed.)

Explanation:

Step1: Check function definition

A function requires each input (x-value) to map to exactly one output (y-value). In the relation $\{(2,3),(2,5),(6,3),(6,5)\}$, the x-value 2 maps to 3 and 5; x-value 6 maps to 3 and 5. So this is not a function.

Step2: Identify the domain

The domain is the set of all x-values from the ordered pairs. The x-values are 2 and 6.
Domain: $\{2, 6\}$

Step3: Identify the range

The range is the set of all y-values from the ordered pairs. The y-values are 3 and 5.
Range: $\{3, 5\}$

Answer:

Is this a function? $\boldsymbol{No}$
The domain is $\boldsymbol{\{2, 6\}}$
The range is $\boldsymbol{\{3, 5\}}$