Question

determine whether the relation is a function. give the domain and the range of the relation. {( (1,4),(1,8),(4,4),(4,8) )}
is this a function?
( \bigcirc ) no
( \bigcirc ) yes

Explanation:

Step1: Check function definition

A function requires each input (x-value) to have exactly one output (y-value). In the relation $\{(1,4),(1,8),(4,4),(4,8)\}$, the x-value 1 maps to both 4 and 8, and x-value 4 maps to both 4 and 8.

Step2: Identify domain

Domain is all unique x-values: $\{1, 4\}$

Step3: Identify range

Range is all unique y-values: $\{4, 8\}$

Answer:

Is this a function?
No
Domain: $\{1, 4\}$
Range: $\{4, 8\}$