 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/1/c/ii/solution

It is neither injective nor surjective onto $R$ , so it has no inverse function on the stated domain and codomain. The distinct inputs

0

and

π /3

both lie in the domain and both give zero. All values lie in

[- 1, 1]

, so, for example, the real number

2

has no preimage.

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