Types of Feature

To speak of functions is to refer to a broad concept. In general terms, it is related to the idea of ​​a condition in which two determined sets have a certain degree of correspondence . This means that the elements of a set “X” are related to one of the elements of the set “Y”. This notion of a set is related to mathematical questions.

From another perspective, the series of actions that are carried out following a logic or order is called a “ function ” . This situation occurs in organizations such as companies where each employee has a “function” assigned so that a common goal is achieved among all.

From the notion of computer science, this concept is directly related to the notion that it is an element that determines certain sequence orders, in which each order fulfills a specific action. A series of algorithms are used for this.

From the point of view of the idea of ​​algebra, the use of a series of variables that independently indicate an action within algebraic operations , such as filing, addition or addition, potentiation, multiplication, is known as a “ function ”. subtraction or division; as concerned.

Types of functions from the point of view of algebra

Explicit functions

By being able to substitute a data of the equation within the algebraic operation, it is possible to find the data of the “X”. As an example of this we have: f(x) = 8x -5.

 

Implicit functions

When in a certain algebraic type operation, an attempt is made to obtain a data “X”, which is not achieved with the simple substitution of it. The algebraic operation is expressed directly as: 8x – 2y – 5 = 0.

Mathematical function symbols

Polynomial functions

It refers to this type of functions when they are used within a polynomial. Within this type of functions we find the following classification:
Constants: a real number defines the criterion to be applied within the given function in an algebraic operation that is represented on the graph in a figure in the form of a horizontal line.

Quadratic: Polynomial algebraic functions of the second degree are known as such, which when represented in a graph, the equation will result in a figure in the form of a parabola.

First degree polynomials: when it is represented within a graph where the “X” and “Y” axes intervene; a line is generated obliquely.

Mathematical representation in a graph

Rational functions

In this type of algebraic functions, the value of a quotient comes into play within the operations, where according to what we have, the operation is executed as far as it is possible to eliminate some numerals with their respective quotients as long as it is possible to shorten the algorithm in its minimum expression.

Graph of a rational function

Radical functions

In this case we find functions that have to do with the fact that the variable called “X” is the one that gives a radical positive or negative value to the sign that precedes it.

Representation of a radical function

Chunk functions

In this type of functions, various factors enter into the dynamics of the operations, which is why it is precisely called operations in pieces or steps; those factors have to do with aspects of sign or absolute value.

Representation of parts of functions

From the transcendental point of view

It is thus determined when one of the variables is presented independently of the rest within an operation. Within this type of variables we have the following types of functions:

Logarithmic

It is directly related to the idea that a function must correspond in an inverse sense to the representation of the exponential function defined in the base of the formula.

Trigonometric

Within them there are a variety of functions with specific behaviors within the operations themselves, such as: cosine, cosecant, sine, tangent, cotangent and secant.

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