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Funktion: y = f(x) = 1.5·x + 6, Df = R, Wf = R, Gerade (y = mx + c; Steigung m = 1.5, y-Achsenabschnitt c = 6) ->
| Wertetabelle: | |||||
| x | f(x) | f'(x) | f''(x) | f'''(x) | Besondere Kurvenpunkte |
| -10 | -9 | 1.5 | 0 | 0 | |
| -9.5 | -8.25 | 1.5 | 0 | 0 | |
| -9 | -7.5 | 1.5 | 0 | 0 | |
| -8.5 | -6.75 | 1.5 | 0 | 0 | |
| -8 | -6 | 1.5 | 0 | 0 | |
| -7.5 | -5.25 | 1.5 | 0 | 0 | |
| -7 | -4.5 | 1.5 | 0 | 0 | |
| -6.5 | -3.75 | 1.5 | 0 | 0 | |
| -6 | -3 | 1.5 | 0 | 0 | |
| -5.5 | -2.25 | 1.5 | 0 | 0 | |
| -5 | -1.5 | 1.5 | 0 | 0 | |
| -4.5 | -0.75 | 1.5 | 0 | 0 | |
| -4 | 0 | 1.5 | 0 | 0 | Nullstelle N(-4|0) |
| -3.5 | 0.75 | 1.5 | 0 | 0 | |
| -3 | 1.5 | 1.5 | 0 | 0 | |
| -2.5 | 2.25 | 1.5 | 0 | 0 | |
| -2 | 3 | 1.5 | 0 | 0 | |
| -1.5 | 3.75 | 1.5 | 0 | 0 | |
| -1 | 4.5 | 1.5 | 0 | 0 | |
| -0.5 | 5.25 | 1.5 | 0 | 0 | |
| 0 | 6 | 1.5 | 0 | 0 | Schnittpunkt Sy(0|6) |
| 0.5 | 6.75 | 1.5 | 0 | 0 | |
| 1 | 7.5 | 1.5 | 0 | 0 | |
| 1.5 | 8.25 | 1.5 | 0 | 0 | |
| 2 | 9 | 1.5 | 0 | 0 | |
| 2.5 | 9.75 | 1.5 | 0 | 0 | |
| 3 | 10.5 | 1.5 | 0 | 0 | |
| 3.5 | 11.25 | 1.5 | 0 | 0 | |
| 4 | 12 | 1.5 | 0 | 0 | |
| 4.5 | 12.75 | 1.5 | 0 | 0 | |
| 5 | 13.5 | 1.5 | 0 | 0 | |
| 5.5 | 14.25 | 1.5 | 0 | 0 | |
| 6 | 15 | 1.5 | 0 | 0 | |
| 6.5 | 15.75 | 1.5 | 0 | 0 | |
| 7 | 16.5 | 1.5 | 0 | 0 | |
| 7.5 | 17.25 | 1.5 | 0 | 0 | |
| 8 | 18 | 1.5 | 0 | 0 | |
| 8.5 | 18.75 | 1.5 | 0 | 0 | |
| 9 | 19.5 | 1.5 | 0 | 0 | |
| 9.5 | 20.25 | 1.5 | 0 | 0 | |
| 10 | 21 | 1.5 | 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