Buffl
Buffl
Mathe

Analysis

JP
by Jerome P.

Allgemeine Form quadratischer Gleichungen

y = f(x) = ax² + bx + c

Allgemeine Scheitelpunktform

y= a(x+d)² + e

S(-d/e)

Ganzrationale Funktion

Eine Funktion der Form

y=f(x)=aₙxⁿ+aₙ₋₁xⁿ⁻¹+…+a₂x²+a₁x+a₀ (n∈ℕ; a₀,a₁,…,aₙ∈ℝ; a≠0)

heißt ganzrationale Funktion.

Der Funktionterm heißt auch Polynom.

Der höchste auftretende Exponent heißt Grad der Funktion.

Die reelen Zahlen a₀,a₁,…,aₙ heißen Koeffizenten.


Schon bekannte Beispiele:

  • Potenzfunktionen (Grad 2)

  • Quadratische Funktionen (Grad 2)

  • lineare Funktionen (Grad 1)

  • konstante Funktionen (Grad 0)

Merke:

Kein x unter der Wurzel

Kein x im Nenner

Kein x im Exponent


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Author

Jerome P.

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