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Trigonometric functions, exponential functions are two common examples.
It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.
Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
Mode is the subject that occurs most. examples:(if you have a set of numbers then its numbers if you have animals its animals)
It is a process by which a linear function of several variables, called the objective function, is maximised or minimised when it is subject to one or more linear constraints in the same variables.