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