If the function is one-to-one, list the inverse function by switching coordinates or inputs and outputs.
-$$\mathrm { f } = \{ ( - 5,1 ) , ( - 1,5 ) , ( - 7 , - 7 ) , ( 7,7 ) \}$$
A) $f ^ { - 1 } = \{ ( 7 , - 7 ) , ( - 7 , - 1 ) , ( 1 , - 5 ) , ( - 7,7 ) \}$
B) $\mathrm { f } ^ { - 1 } = \{ ( 1 , - 5 ) , ( 5 , - 1 ) , ( - 7 , - 7 ) , ( 7,7 ) \}$
C) $f ^ { - 1 } = \{ ( 7 , - 7 ) , ( 5 , - 1 ) , ( 1 , - 1 ) , ( - 7,7 ) \}$
D) not one-to-one

Question

Quizplus · Accepted Answer

To find the inverse of a one-to-one function, you switch the x and y coordinates of each ordered pair in the function. The correct inverse function for $ f = \{ ( - 5,1 ) , ( - 1,5 ) , ( - 7 , - 7 ) , ( 7,7 ) \}$ is $f ^ { - 1 } = \{ ( 1 , - 5 ) , ( 5 , - 1 ) , ( - 7 , - 7 ) , ( 7,7 ) \}$, which matches option B.

If the Function Is One-To-One, List the Inverse Function by Switching