Question: Problem 4 . [ 5 points ] The rotate - by - 9 0 - degree function f : Z Z Z Z is defined

Problem 4.[5 points]
The rotate-by-90-degree function f:ZZZZ is defined as follows.
f(x,y)=(y,-x)
(This function is used in image processing for rotating a face or an image by 90 degree in clockwise direction.) Is this function a one-to-one correspondence? Prove or disprove.
Problem 4 . [ 5 points ] The rotate - by - 9 0 -

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