Give the domain and range of the relation.
-$$x y = 10$$
A) domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
B) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $( - \infty , 0 ) \cup ( 0 , \infty )$
C) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $[ 0 , \infty )$
D) domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The relation $xy = 10$ implies that for any non-zero value of $x$, there exists a corresponding non-zero value of $y$ such that their product is 10. Both $x$ and $y$ cannot be zero because their product must be 10. Therefore, both the domain and range exclude 0 but include all other real numbers, making the correct choice $( - \infty , 0 ) \cup ( 0 , \infty )$ for both.

Give the Domain and Range of the Relation xy=10x y = 10xy=10

Give the Domain and Range of the Relation $x y = 10$