SOLUTION: Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse. {(-2, 4), (2, -4), (8, -2), (-8, 2)}

Algebra ->  Inverses -> SOLUTION: Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse. {(-2, 4), (2, -4), (8, -2), (-8, 2)}      Log On


   

Question 867834: Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse.
{(-2, 4), (2, -4), (8, -2), (-8, 2)}
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
This function shows a one-to-one correspondence; that is, every value of x corresponds to exactly one value of y. So yes, this function has an inverse.

Swap the x and y values.

f^(-1)(x) = {(4, -2), (-4, 2), (-2, 8), (2, -8)}