Give the domain and range of the relation.
-$x y = - 7$
A) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $( - \infty , 0 ) \cup ( 0 , \infty )$
B) domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$
C) domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
D) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $[ 0 , \infty )$

Question

Quizplus · Accepted Answer

The relation $xy = -7$ implies that for any non-zero value of $x$, there exists a corresponding value of $y$ such that their product is $-7$. Both $x$ and $y$ cannot be $0$ because their product would then be $0$, not $-7$. Therefore, both the domain and range exclude $0$ but include all other real numbers, making them $(-\infty, 0) \cup (0, \infty)$.

Give the Domain and Range of the Relation xy=−7x y = - 7xy=−7

Give the Domain and Range of the Relation $x y = - 7$