Give the domain and range of the relation.
-$$x y = - 2$$
A) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $[ 0 , \infty )$
B) domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
C) domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$
D) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $( - \infty , 0 ) \cup ( 0 , \infty )$

Question

Quizplus · Accepted Answer

The relation $xy = -2$ implies that neither $x$ nor $y$ can be 0 (since 0 multiplied by anything is 0, not -2), hence both the domain and range exclude 0. Both $x$ and $y$ can take any negative or positive value to satisfy the equation, hence the domain and range are all real numbers except 0.

Give the Domain and Range of the Relation xy=−2x y = - 2xy=−2

Give the Domain and Range of the Relation $x y = - 2$