Question: 4. Is the function f: R {0} - R given by f(x) = x + 2 injective? Why or why not? 5. Let f

$4. Is the function f: R \\ {0} - R given by f(x)$

4. Is the function f: R \\ {0} - R given by f(x) = x + 2 injective? Why or why not? 5. Let f : Z - Z x Z be given by f (n) = (n2, n3). (a) Prove that f is injective. Hint: Suppose that there exists n1, n2 E Z such that f (n1) = f(n2). Show that n1 = n2. (b) Give an element of Z x Z that is not in the range of f to show that f is not surjective

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