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Monotonic Behavior of the Function

Functions are said to be monotonic if they are either increasing or decreasing in their entire domain, e.g., f(x) = ex.
f(x) = logex and f(x) = 2x + 3 are some of the examples of functions which are increasing, whereas f(x) = –x3, f(x) = ex and f(x) = cot–1x are some of the examples of the functions which are decreasing. Functions which are increasing as well as decreasing in their domain are said to be non-monotonic, e.g., f(x) = sin x; f(x) = ax2 + bx + c and f(x) = |x|, however in the interval 88683.png, f(x) = sin x will be said to be increasing.

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