20- Let f: RZ be the floor function f(x)= [x]. (a) (10 points) Is f one-to-one?...

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20- Let f: RZ be the floor function f(x)= [x]. (a) (10 points) Is f one-to-one? Prove or give a counterexample. (b) (10 points) Is f onto? Prove or give a counterexample. 20- Let f: RZ be the floor function f(x)= [x]. (a) (10 points) Is f one-to-one? Prove or give a counterexample. (b) (10 points) Is f onto? Prove or give a counterexample.