MTH 252 Lecture Notes - Lecture 4: Linear Function, Constant Function

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10 Sep 2016

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Def: let f: (a,b) r ; we say if and only if: For every , there is a such that if |x-b|

Very clear and step by step proof would be very appreciated. Thanks in advance.

Please attach the middle proof step by step clearly. If necessary, please also attach explanation.

Recall that a function f is periodic if there is a positive number p such that for every t, and the least such p (if it exists) is the period

of f. The graph of a function of period p looks the same on each interval of length p, so we can easily determine the period from the

graph.Determine whether the function whose graph is shown is periodic: if it is periodic, find the period?