Zeichnen von Graphen

Grundfunktion erkennbar	Linearfaktordarstellung	Polynomdarstellung
ablesen: Grundfunktion Streckungen Verschiebungen	ablesen: Nullstellen bestimmen: Verhalten für x → ± ∞	ablesen / bestimmen: Verhalten für x -> ± ∞ Symmetrie bestimmen: Nullstellen
Ggf. Hoch-,	Tief- und Wendepunkte	bestimmen
	→ Graph skizzieren
Beispiel: f(x)=(x-2)³+1 Grundfunktion: g(x)=x³ Streckung: keine Verschiebung: um 2 nach rechts, um 1 nach oben	Beispiel: f(x)=(x+2)(x-1)(x-3) Nullstellen: x₁ = -2; x₂ = 1; x₃ = 3	Beispiel: f(x) = x³+2x Verhalten für x → ± ∞: wie x³ Symmetrie: ungerade Hochzahlen → punktsymmetrisch zum Ursprung Nullstellen: x₁ = 0

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