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MAT102 quiz

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Department
Mathematics
Course
MAT102H5
Professor
Shay Fuchs
Semester
Fall

Description
MAT102S - Intro. to Mathematical Proofs - Winter 2011 - UTM Quiz 4 (Version B) - March 23, 2011 - Solutions 1. Here is the graph of a function f : R → R . (3 marks) 7 y 6 5 f 4 3 2 1 x −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 −1 −2 −3 −4 −5 −6 −7 The domain and the target space of f can be restricted to various intervals. In each case, ▯ll in the circle that corresponds to the correct answer. No explanation is needed for this question. (a) If f : [−2;2] → [−7;7] , then f is ... ⃝ a surjection ▯ an injection ⃝ a bijection. ⃝ neither a surjection but not an injection. but not a surjection. nor an injection. (b) If f : [−4;−1] → [−2;7] , then f is ... ⃝ a surjection ⃝ an injection ⃝ a bijection. ⃝ neither a surjection ▯ but not an injection. but not a surjection. nor an injection. (c) If f : [0;4] → [−6;0] , then f is ... ▯ a surjection ⃝ an injection ⃝ a bijection. ⃝ neither a surjection but not an injectio
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