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 . 2x3 + 6x2+ 4x (2) Let f : N -> Q be the function defined by...

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2x3 + 6x2+ 4x (2) Let f : N -> Q be the function defined by f (x) = 3 (a) Factor the numerator completely. (b) Explain why given three consecutive integers a, a + 1, a + 2, one of them is divisible by 3. (c) Prove that f(x) E N for all x E N. (d) Is the image (or range) of f equal to N? Justify your claim.

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sque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus,

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