If the function is one-to-one, list the inverse function by switching coordinates or inputs and outputs.
-$f = \{ ( - 9 , - 8 ) , ( 8,9 ) , ( 2,1 ) , ( - 2 , - 1 ) \}$
A) not one-to-one
B) $f ^ { - 1 } = \{ ( - 8 , - 9 ) , ( 9,8 ) , ( 1,2 ) , ( - 1 , - 2 ) \}$
C) $f ^ { - 1 } = \{ ( - 1,2 ) , ( 9,8 ) , ( - 8,8 ) , ( 1 , - 2 ) \}$
D) $f ^ { - 1 } = \{ ( - 1,2 ) , ( 2,8 ) , ( - 8 , - 9 ) , ( 1 , - 2 ) \}$

Question

Quizplus · Accepted Answer

A function is one-to-one if each input maps to a unique output, and no two inputs map to the same output. The given function $f$ meets this criterion, so its inverse $f^{-1}$ is found by switching each pair's coordinates, resulting in choice B.

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