6. Let f: RR be a function and define a relation ~ on R by a~...
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6. Let f: RR be a function and define a relation ~ on R by a~ b if f(a) = f(b). a) Prove that ~ is an equivalence relation on R. b) For f(x) = x² + 2x, find [5]. c) For f(x) = sinx, find [1/2] and [T/6]. 6. Let f: RR be a function and define a relation ~ on R by a~ b if f(a) = f(b). a) Prove that ~ is an equivalence relation on R. b) For f(x) = x² + 2x, find [5]. c) For f(x) = sinx, find [1/2] and [T/6].
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a To prove that is an equivalence relation on mathbbR we need to show that it satisfies thr... View the full answer
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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