Question

state the domain and range of the relation and determine if this relation is a function or not
a d -6, -4, 12, 14 r 2, 4, -8 this relation is a function
b d 2, 4, -8 r -6, -4, 12, 14 this relation is not a function
c d -6, -4, 12, 14 r 2, 4, -8 this relation is not a function
d d 2, 4, -8 r -6, -4, 12, 14 this relation is a function

Explanation:

Step1: Define domain

The domain of a relation is the set of all input values. Here, the input - values are 2, 4, - 8. So, $D=\{2,4, - 8\}$.

Step2: Define range

The range of a relation is the set of all output values. Here, the output - values are - 6, - 4, 12, 14. So, $R=\{-6,-4,12,14\}$.

Step3: Check if it's a function

A relation is a function if each input has exactly one output. Here, the input 2 has one output (-6), the input 4 has one output (-4), and the input - 8 has one output (14). Each element in the domain is paired with exactly one element in the range. So, this relation is a function.

Answer:

D. D: 2, 4, -8; R: -6, -4, 12, 14; This relation is a function