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3ºESO - UNIDAD: FUNCIONES
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  • Course
  • Mathematics and science
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  • ESO

Este documento presenta un temario de funciones, en el que se encuentran bastantes ejemplos y representaciones sobre: 1. TIPOS DE INTERVALOS 2. IDENTIFICACIÓN DE FUNCIONES 3. DOMINIO (D) 4. RECORRIDO (R) 5. DOMINIOS DE FORMA ANALÍTICA 6. CORTE CON LOS EJES 7. CONTINUIDAD 8. CRECIMIENTOS, ...

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  • May 7, 2023
  • 9
  • 2022/2023
  • Interview
  • Unknown
  • Unknown

Subjects

  • matemáticas
  • funciones
  • gráficas

Written for

  • Secondary school
  • ESO
  • Mathematics and science
  • 3
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Matemáticas de 3º de la E.S.O. - UNIDAD: FUNCIONES



UNIDAD: FUNCIONES.
FUNCIONES:
Una función 𝑦 = 𝑓(𝑥) es una transformación en la que cada valor de “𝑥”
se transforma en un único valor de “𝑦”.
TIPOS DE INTERVALOS:
1. [𝑎, 𝑏]→ Aquí dentro están todos los números entre “𝑎” y “𝑏”
incluyendo ambos. Gráficamente:
EJEMPLO:
a) [− 1, 3] →

b) . → [− 4, 7]

2. (𝑎, 𝑏)→ Aquí dentro están todos los números entre “𝑎” y “𝑏” sin
intervalos. Gráficamente:
EJEMPLO:
a) (− 1, 3) →

b) . → (− 4, 7)

3. [𝑎, 𝑏) →Aquí dentro están todos los números entre “𝑎” y “𝑏”
incluyendo solamente“a”. Gráficamente:
EJEMPLO:
a) [− 1, 3) →

b) . → [− 4, 7)

4. (𝑎, 𝑏] →Aquí dentro están todos los números entre “𝑎” y “𝑏”
incluyendo solamente“b”. Gráficamente:
EJEMPLO:
a) (− 1, 3] →

b) . → (− 4, 7]

, Matemáticas de 3º de la E.S.O. - UNIDAD: FUNCIONES



INTERVALOS CON INFINITOS(∞)

*Siempre recuerda que si usas un infinito se le pone paréntesis*
5. [𝑎, + ∞) →Números mayores o iguales que “𝑎”. Gráficamente:

EJEMPLO:
[3, + ∞) →

6. (𝑎, + ∞) →Números mayores que “𝑎”. Gráficamente:

EJEMPLO:
(7, + ∞) →

7. (− ∞, 𝑏] →Números menores o iguales que “𝑏”. Gráficamente:

EJEMPLO:
(− ∞, 8] →

8. (− ∞, 𝑏) →Números menores que “𝑏”. Gráficamente:

EJEMPLO:
(− ∞, 8) →

¿CUÁLES SON Y CUÁLES NO SON FUNCIONES?

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