Determine whether the following function is a one-to-one function. If it is one-to-one, list the inverse function by switching coordinates.
\[
f=\{(-1,-1),(6,6),(4,0),(0,4)\}
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $f^{-1}=\{$
(Type an ordered pair. Use a comma to separate answers as needed.)
B. $f$ is not one-to-one

Step 1 ：A function is one-to-one if every element in the domain maps to a unique element in the range. In other words, no two different elements in the domain map to the same element in the range.

Step 2 ：To determine if the function is one-to-one, we need to check if there are any repeated values in the range (second element of each pair). If there are, then the function is not one-to-one. If there aren't, then it is one-to-one and we can find the inverse by switching the coordinates.

Step 3 ：Given function is \(f=\{(-1,-1),(6,6),(4,0),(0,4)\}\)

Step 4 ：The function is one-to-one since there are no repeated values in the range.

Step 5 ：The inverse function can be found by switching the coordinates of each pair in the function.

Step 6 ：Final Answer: The function is one-to-one and the inverse function is \(\boxed{f^{-1}=\{(-1,-1),(6,6),(4,0),(0,4)\}}\)