If the function is one-to-one, find its inverse. If not, write ʺnot one-to-one.ʺ
-$$\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 8 , - 2 ) , ( - 8,2 ) \}$$
A) $\{ ( 4 , - 2 ) , ( - 4,2 ) , ( - 2,8 ) , ( 2 , - 8 ) \}$
B) $\{ ( 4 , - 2 ) , ( - 4,2 ) , ( 8 , - 2 ) , ( 2 , - 8 ) \}$
C) $\{ ( 4 , - 2 ) , ( - 4,2 ) , ( - 2 , - 8 ) , ( 2,8 ) \}$
D) not one-to-one

Question

Quizplus · Accepted Answer

To find the inverse of a one-to-one function, swap the x and y values in each ordered pair. The given function is one-to-one because each x-value is paired with a unique y-value, and vice versa. The inverse is $\{ ( 4 , - 2 ) , ( - 4,2 ) , ( - 2,8 ) , ( 2 , - 8 ) \}$.

If the Function Is One-To-One, Find Its Inverse {(−2,4),(2,−4),(8,−2),(−8,2)}\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 8 , - 2 ) , ( - 8,2 ) \}{(−2,4),(2,−4),(8,−2),(−8,2)}

If the Function Is One-To-One, Find Its Inverse $\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 8 , - 2 ) , ( - 8,2 ) \}$