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Inverse functions

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Inverse functions

Worksheet overview

Descripción:

The origin of the concept of functions has always been closely linked to the study of the phenomena of change. The oldest written references can be found amongst the writings of Babylonian astronomers. In the Middle Ages the study of functions appeared to be linked to the concept of movement. Nicole Oresme (1323-1392), a scholar interested in this concept, gave graphical representations showing change in velocity with respect to time. Three centuries later, Galileo studied movement from a quantitative point of view, justified his discoveries experimentally and established laws between different magnitudes. After Galileo, the concept of the function evolved until, in the XIXth century, in 1837, Dirichlet defined the function as a relation between variables, which is the definition we still use today. Functions are a basic tool which are used in physics, biology, social sciences and so on.

Orientación didáctica:

KNOWLEDGE TYPE: declarative, procedural

PRIOR KNOWLEDGEThe contents required are explained in this course

LEARNING OBJECTIVESRecognise a function graphically Find the domain and range of a function both graphically and analytically Use the graph of a function to see if it has an inverse. Find the inverse of a few simple functions using analytical methods. Use a graph to find the table of values of an inverse function for more complex functions.

Licencia:
creative commons: attribution - non commercial - share alike
Descripción licencia:

The use of the following contents is universal, free of charge and open, provided that it is for noncommercial educative use. The actions, products and utilities derived from its use are therefore not allowed to generate any profit. Moreover, a reference to the source is required.

Destinatario:
alumne
Contexto:
company

General

Idioma:
english
Palabras clave: inverse functions definition of a function domain of a function range of a function
Ambito: universal
Estructura:
lineal
Nivel de agregación:
Secuencia Didáctica
Colección: Descartes
Nodo:
URL repositorio: /repositorio/20072010/9d/es_2010072063_9174709
IMS Manifest Télécharger dossier

Técnica

Formato:
image/gif
text/html
Tipo requerimiento:
sistema operativo
Nombre requerimiento:
multi-os
Tipo requerimiento:
nabigatzailea
Nombre requerimiento:
any
Consideraciones instalación:

Installation is not required

Otros requisitos plataforma:

Install and enable the Java interpreter and Plug-in of the applet Descartes on local

Educational use

Tipo recurso educativo:
escenari real o virtual d'aprenentatge
Tipo interacción:
combinado
Nivel interacción:
baix
Densidad semántica:
media
Edad: 16
Dificultad:
medio
Tiempo aprendizaje: 2 teaching units
Idioma educativo:
english
Proceso cognitivo:
practicar
comprender
comprobar

Rights

Coste licencia:
no
Tipo acceso:
unibertsala
Descripción acceso:

es_cnice_20080623,es_{nodo}_20080923,es_clm_20091103121523455,es_murcia_20080422121523455,es_valencia_20081215,es_contenidos_20080623,es_castillayleon_201002241811,es_baleares_200907131205,es_canarias_20090114,es_aragon_20080930,es_larioja_20081107,es_cantabria_20081215,es_euskadi_20100423,es_extremadura_20090126,es_navarra_20090202,es_andalucia_20090324

Carte conceptuelle: Inverse functions

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Fecha publicación: 28.3.2015

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