Question: Consider the function f: Z = Z, where f(n) = [n/4] . A. ) Describe the range of the function in words. (Do not use

Consider the function f: Z = Z, where f(n) = [n/4] . A. ) Describe the range of the function in words. (Do not use notation please.) B. ) Determine if the function is an injection or not. Prove your conclusion. C. ) Determine if the function is a surjective or not. Prove your conclusion. D. ) Determine if the function has an inverse. State all definitions and/or theorems you use from the Doerr & Levasseur textbook. (Note: if you wanted to state the definition of a function, write what is in the bold print, Definition 7.1.1 Function. You do not need to state the entire paragraph of the definition or theorem unless you want to.)

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