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Problem regarding the ceiling function

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Let F(x): R -> Z be the floor function and C(x): R -> Z be the ceiling function. Select which of the following function equations are true (select zero or more answers).

a. C(x) - F(x) = 1 for all x.

b. C(F(x)) = F(x) for all x

c. C(F(x)) = F(C(x)) - 1 for all x

d. F(F(x)) = F(x) for all x

Reference no: EM13956942

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