Tell whether the inverse of the set of ordered pairs $( x , y )$ is a function. $\{ ( 5,2 ) , ( 6,2 ) , ( 7,2 ) , ( 8,2 ) \}$
A)no
B)yes

Question

Quizplus · Accepted Answer

For the inverse of a set of ordered pairs to be a function, each element in the range (second coordinate of the original ordered pairs) must only correspond to one element in the domain (first coordinate of the original ordered pairs). However, in this set, all the ordered pairs have the same second coordinate of 2, which means there are multiple elements in the domain that correspond to the same element in the range, violating the definition of a function.

Tell Whether the Inverse of the Set of Ordered Pairs (x,y)( x , y )(x,y)

Tell Whether the Inverse of the Set of Ordered Pairs $( x , y )$