KEMAL VATANSEVER9-D 216

Functions

How Important Functions Are?

Does it have to be part of a kid's everyday experience outside of school, as opposed to something engineers do every day to design the devices kids use every day? The real life is a lot bigger than most people realize! And most interesting applications of math occur in the context of other math, science, or engineering, rather than in the ordinary activities of life, so it's not realistic to pretend everyone will be using advanced math whenever they go shopping or something, or that anything outside their experience is unimportant. (This is for all the students who write to magazines, newspapers, Internet etc. asking how topic X is used in real life, or to the teachers who apparently assign them to find out.)

And our key is that to relate math and also functions with all the real things around us to find out that the sequence and the relations are combining our lives to reasonable answer. Thus this combinations make us feel confident about we are not on the air with the unrealistic terms that prepares base for all events in the nature.

History

The theory of a function was suggested in the seventeenth century. During this time, Rene Descartes (1596-1650), used the concept to describe many mathematical relationships (such as polynomial quantities and numerical series) in his book Geometry (1637). After almost fifty years after the publication of Geometry, the term, "function", was introduced by Gottfried Wilhelm Leibniz (1646-1716). The idea of a function was eventually formalized and developed by Leonhard Euler (pronounced "oiler" 1707-1783) who introduced the notation for a function, f(x) = y.

A function represents a mathematical relationship between two sets of real numbers that are in the x axis y ordinate. These sets of numbers are related to each other by a rule which accepts that each value from one set to exactly one value in the other set. The general notation for a function y = f(x), that developed in the 18th century, is read "y equals f of x." Other presentations of functions include graphs (such as parabolas) and tables. Functions are classified by the types of rules which have their governors’ name including; algebraic, trigonometric, and logarithmic and exponential. It has been found by mathematicians and scientists so important that these unreal definitions of functions can represent many real-world phenomena.

Types of Functions

IdentityInverseConstantOntoOne to OneInto

Graphs of Functions

Monotony of a FunctionParity of a FunctionSquare FunctionInverse Function

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