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Funktion: y = f(x) = -x + 2, Df = R, Wf = R, Gerade (y = mx + c; Steigung m = -1, y-Achsenabschnitt c = 2) ->
| Wertetabelle: | |||||
| x | f(x) | f'(x) | f''(x) | f'''(x) | Besondere Kurvenpunkte |
| -5 | 7 | -1 | 0 | 0 | |
| -4.5 | 6.5 | -1 | 0 | 0 | |
| -4 | 6 | -1 | 0 | 0 | |
| -3.5 | 5.5 | -1 | 0 | 0 | |
| -3 | 5 | -1 | 0 | 0 | |
| -2.5 | 4.5 | -1 | 0 | 0 | |
| -2 | 4 | -1 | 0 | 0 | |
| -1.5 | 3.5 | -1 | 0 | 0 | |
| -1 | 3 | -1 | 0 | 0 | |
| -0.5 | 2.5 | -1 | 0 | 0 | |
| 0 | 2 | -1 | 0 | 0 | Schnittpunkt Sy(0|2) |
| 0.5 | 1.5 | -1 | 0 | 0 | |
| 1 | 1 | -1 | 0 | 0 | |
| 1.5 | 0.5 | -1 | 0 | 0 | |
| 2 | 0 | -1 | 0 | 0 | Nullstelle N(2|0) |
| 2.5 | -0.5 | -1 | 0 | 0 | |
| 3 | -1 | -1 | 0 | 0 | |
| 3.5 | -1.5 | -1 | 0 | 0 | |
| 4 | -2 | -1 | 0 | 0 | |
| 4.5 | -2.5 | -1 | 0 | 0 | |
| 5 | -3 | -1 | 0 | 0 | |
| Graph: | |||||
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Graph mit Steigungsdreieck.
Abkürzungen: Df = (maximaler) Definitionsbereich, f(x) = Funktion, f'(x) = 1. Ableitung, f''(x) = 2. Ableitung, f'''(x) = 3. Ableitung, N = Nullstelle, R = reelle Zahlen, Sy = y-Achsenabschnittspunkt, Wf = Wertebereich, {.} = einelementige Menge.
Bearbeiter: Michael Buhlmann