Function Tab

Function tabulation is the calculation of function values ​​when changing an argument from a certain initial value to a certain final value with a certain step. This is how tables of function values ​​are compiled, hence the name - tabulation. The need for tabulation arises when solving a fairly wide range of tasks. For example, when numerically solving nonlinear equations f (x) = 0, by tabulation it is possible to separate (localize) the roots of the equation , that is, to find such segments at the ends of which the function has different signs. Using tabulation, you can (albeit very roughly) find the minimum or maximum function. Sometimes it happens that a function does not have an analytical representation, and its values ​​are obtained as a result of calculations, which often happens in computer modeling of various processes. If such a function will be used in subsequent calculations (for example, it should be integrated or differentiated , etc.), then they often do the following: they calculate the function values ​​in the required interval of the argument change, that is, compose a table (tab), and then In this table, another function is constructed in any way, given by the analytical expression (formula). The need for tabulation also arises when plotting functions on a computer screen.