control matematica funciones semana 6.docx

Funciones Yanett Perez Henriquez Matemáticas Instituto IACC 11/06/2017

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Desarrollo 1.- Desarrolle y responda las siguientes preguntas: 1.1.) Dada la función:

  3  < 1 2  ()    { {√ 1 +   > 1 a) Determine la imagen del 3.-

 ()   √   √ 1 + 3  √ 4  2

 (−). (−−))   (2(2)  3)   (2 ∗ 4  3)  8  3  5

b) Determine

c) ¿Existe la imagen de -1? Justifique.No existe la imagen de -1, ya que este valor no pertenece al Dominio de la función

 ()   =(  ) donde   7 y   1   7  (  1)   7  5(5(  1)

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2.- Determine el Dominio de:

8  ()   ( +23)(12 ) ( + 3)(12) ≠ 0  + 3 ≠ 0 →   3 3  1 1  2 ≠ 0 →   2  ()   {3, 12} 3.- Determine el recorrido de:

 2  1  ()  1  4  2  1   1  4

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  4  2  1  + 1  2 + 4  + 1  (2 + 4)  + 1    2 + 4 2 + 4 ≠ 0 4 ≠ 2 1  ≠ 2 1      { 2}

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