Prove that the function f :Q + Z given by f(x) = [«] is onto.

Question

Question

math Advanced-Math

Answer 1

Answer #1

let ytz (the set of integers), Y EQ alsa, Res where is the set L national nimlens. Now, [y] =y (By definition of (3) soy f(y)

Here f(x) defines the box function that is the nearest integer less than or equal to x.

Answer 2

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