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5. Vl Ana1LinA Abbildungen $3.35   Add to cart

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5. Vl Ana1LinA Abbildungen

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Dies ist eine vollständige Vorlesungsmitschrift zur fünften Vorlesung des Moduls Analysis I und lineare Algebra für Ingenieurswissenschaften. In dieser Vorlesung wurden Abbildungen von Funktionen thematisiert.

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  • January 26, 2023
  • 7
  • 2022/2023
  • Class notes
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Abbildungen

Definition Seien AB Mengen dann heißt


f A B x
ff wenn
jedem x EA genau ein y f EB zugeordnetwird

f von A
nachB


A Definitionsbereich
B Wertebereich


aus Zahlen besteht IR oder G spricht man Funktionen
falls B von



Bsp 1 f MIR GLEI
alternativ
IR To tot
Graph von f
f x
ff X x x




2 Ist das ein Graph

Fnein weilkeine Flat




3 konstante Funktionen




SIE ist ein Graph




4
g d b
f c
fl a
c fl c

Ai

, 5
f A A x fktx
Diese Abbildung nennt man Identität auf A

idif
Definition Bild Urbild
Sei Dann heißt
fl ff Bild C unter der Abbildung
EA x ec von
f
sieheBsp4 z B 1
G 1,3 GCC a


G ez fl a c



A Bild
Speziell heißt
GIA fl x von
f
f A a e ist das Bild von f

Sei DEB Dann heißt f D x EA f ED Urbild von D
unter der Abbildung
f
sieheBsp4 z B 2 D b c f D 1,3

DEM TCD O
3 f IR IR fkk

III 23 E 4 1

f R Tool
437 2 2
f Er FEN
JIE 4J EZ Du E 2

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