Question: Exercise 4. Let p: R R be a polynomial function, that is, assume that p is given by an expression of the form p(x)=

Exercise 4. Let p: R R be a polynomial function, that is, assume that p is given by an expression of the form p(x)= "+an-12+...+00. a) Assume that n is an odd number, that is, assume that n is not divisible by 2. Show that p is surjective. c) Assume that n is an even number, that is, assume that n is divisible by 2. Show that p is not surjective nor injective.

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