MAT102H5 Quiz: MAT102H5 Quiz 2 2016 Winter Spring

• School: UTM
• Department: Mathematics
• Course: MAT102H5
• Professor: Shay Fuchs

Document Summary

Mat102s - intro. to mathematical proofs - winter 2016 - utm. Quiz 2 (version a) solutions - february 3, 2016: for each statement, determine if it is true or false. Circle your answers. (a) the set of numbers { n 1 n | n n} is a bounded set. (5 marks) False (b) if f decreases on [1, 2] and decreases on (2, 3], then f decreases on [1, 3]. False (c) if 1 + 1 = 0 in a eld f, then x = x for any x f. (d) a function f (x) = 1: let f, g : r r be two functions. Show that if f 3g and 3f + g are bounded, then f must also be bounded. You may use results from class, but not results from the homework. (2. 5 marks) 10 s. we are given that both h and g are bounded.