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Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.
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Horizontal line test is used for the determination of a function,if the horizontal line passes through one point of the given graph then it is a function and if it passes through more than one point then it will not a function. * * * * * No! It is a vertical line test. Consider the graph of y = sin(x): a horizontal line line will cross it twice in every 360 degrees! Convince me that y = sin(x) is not a function.
Big O notation (also O()) describes the limiting behaviour of a function when the argument tends towards a particular value (most often we consider infinity) usually in terms of simpler functions. For example, the statement : ; would imply that the function T has n2 time complexity - that is, it is upper bounded by the function n2.
Yes. A function is a rule to assign a value based on some other value; you can make the function equal to a constant for all values of a variable "x", or you can make it equal to a few values. Commonly used functions of this type include the integer function (take the integer part of a number), which, if you consider a finite domain (for example, all numbers from 0 to 10), has an infinite number of values in the domain, but only a few specific values in its range; and the sign function.