Identify the domain and range of the relation, and determine whether the relation is a function.
-$$\{ ( - 9,4 ) , ( - 1,2 ) , ( 18 , - 2 ) , ( - 1 , - 4 ) \}$$
A) Domain: $\{ - 4 , - 2,2,4 \}$; Range: $\{ - 9 , - 1,18 \} ;$ Not a function
B) Domain: $\{ - 9 , - 1 , - 1,18 \}$; Range: $\{ - 4 , - 2,2,4 \}$; Function
C) Domain: $\{ - 4 , - 2,2,4 \}$; Range: $\{ - 9 , - 1,18 \}$; Function
D) Domain: $\{ - 9 , - 1,18 \}$; Range: $\{ - 4 , - 2,2,4 \} ;$ Not a function

Question

Quizplus · Accepted Answer

The domain of a relation is the set of all first elements of the ordered pairs, and the range is the set of all second elements. For the given relation, the domain is $\{-9, -1, 18\}$ and the range is $\{4, 2, -2, -4\}$. Since there are two different ordered pairs with the same first element $(-1,2)$ and $(-1,-4)$, the relation is not a function.

Identify the Domain and Range of the Relation, and Determine {(−9,4),(−1,2),(18,−2),(−1,−4)}\{ ( - 9,4 ) , ( - 1,2 ) , ( 18 , - 2 ) , ( - 1 , - 4 ) \}{(−9,4),(−1,2),(18,−2),(−1,−4)}

Identify the Domain and Range of the Relation, and Determine $\{ ( - 9,4 ) , ( - 1,2 ) , ( 18 , - 2 ) , ( - 1 , - 4 ) \}$