 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2019/discrete-mathematics-continuous-mathematics-and-probability-resit/1/b/i/solution

Not injective; surjective. Indeed,

f (0) = f (- 1) = - 9

although

0 \neq = - 1

f (x) \to - \infty

x \to - \infty

and

f (x) \to \infty

x \to \infty

. For any prescribed real

y

, choose

a < b

with

f (a) < y < f (b)

a

and

b

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