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"Relations and Functions"

"Relations and Functions"

Group: "Academicians"

-Javier Céspedes -----> darkova.blogspot.com

1. What is an ordered pair? How graphic?
-The ordered pair is a pair of two elements, which are separated by a comma, it has two parts:
* First set: Composed of the first component.
* Second set: Composed of the second component.
Graphing:
- (a, b) where a is the first component of 1 set and "b" is the second component of the 2 nd set.
"As is ordered is not the same words (a, b) that (b, a). (1)
(1) Wikipedia.com. "Ordered pair". Available at: http://es.wikipedia.org/wiki/Par_ordenado

* Precalculus Online Contest. "Functions". Available at: http://ponce.inter.edu/csit/math/precalculo/sec3/cap3.html

2. What is the coordinate axis?
-axes are referred to the lines used to determine the position of a point (2).

(º)

(2) EducarChile. "coordinates." Available at: http://www.educarchile.cl/eduteca/nb3/sitio/gl.asp-cod=pr23.htm

(degrees) Online Contest precalculus. "Functions". Available at: http://ponce.inter.edu/csit/math/precalculo/sec3/cap3.html

3. What is a function? Its entirety and denotation.
-A function is a correspondence between elements of two sets, but on condition that an element of the first set, has a single element of the second set. (3) Denoting

:
-Sean "A" and "B" two sets, called A to B according to the relationship between each element of A with only one element of B. (3)
-The main elements of a function are the possible values \u200b\u200bthat variables can take. (4)


(3) Wikipedia.com. "Mathematical function. Available at:
³ http://es.wikipedia.org/wiki/Funcià n_matemà policy

(4) Descartes2d.José Luis Alonso Borrego. "Functions: elemntos of a function." Available at:
http://descartes.cnice.mecd.es/Bach_HCS_1/Funciones_formas_de_expresar/elementos.htm


4. What is the relationship?
-is a set of ordered pairs that are formed by an element of the first set (output), and an element of the second set (arrival). (5)

(5)

(5) Escol@ar.com . "Relations and Functions". Available at: http://www.escolar.com/matem/02relac.htm

5. Explained if the function is a relationship or it is a function:

6. Explain what is domain and range of a function:
Domain: This consists of the values \u200b\u200b(real numbers) for which the function is defined.
Range: These are values \u200b\u200bthat can take the function or values \u200b\u200bin the y-axis. ("Y")

* http://thales.cica.es/rd/Recursos/rd99/ed99-0295-01/punto1/punto1.html
* http://es.wikipedia.org/wiki/Dominio_de_definicià ³ n
* http://html.rincondelvago.com/calculo-diferencial-e-integral_1.html
* http://dieumsnh.qfb.umich.mx/DIFERENCIAL/funciones.htm # ddominio

7. Outlines and defines each of the classes of functions: basic functions


algebraic functions: polynomial

: the functions x → P (x), where P is a polynomial in x.
linear function: It is called linear because its graph is a straight line is a function where f (x) = mx + c
c: constant, m: slope x: domain.

quadratic function: A function of the form:

Rational Functions: The functions obtained by dividing a polynomial function of the other, not identically zero function

following transcendental functions:

Exponential function: A function of the form y = Logarithmic function ax

Functions: They are the:
* Sine, cosine, tangent, secant, cosecant, cotangent, inverse trigonometric functions. Hyperbolic
: They are the:
* hyperbolic sine, hyperbolic cosine, hyperbolic tangent.

* http://html.rincondelvago.com/funciones-matematicas.html
* http://es.wikipedia.org/wiki/Lista_de_funciones_matem% C3% A1tico
* http://100cia.com/enciclopedia/Clasificaci% F3n_de_funciones_matem% E1ticas

8. Determined at least five applications of the functions:

9. What is the matching rule in a function?
"It indicates that the criterion which are chosen pairs of elements of the domain and range; this criterion is given as an extension or an equation.

10. Describe and analyze linear functions

2

11. How would you explain the slope of a linear function?
-is the ratio between the leg opposite of a linear plot and the adjacent leg, ie its tangent.


12. Sets out five applications of the linear or first grade: