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Funktion: y = f(x) = -5x + 7.5, Df = R, Wf = R, Gerade (y = mx + c; Steigung m = -5, y-Achsenabschnitt c = 7.5) ->
| Wertetabelle: | |||||
| x | f(x) | f'(x) | f''(x) | f'''(x) | Besondere Kurvenpunkte |
| -10 | 57.5 | -5 | 0 | 0 | |
| -9.5 | 55 | -5 | 0 | 0 | |
| -9 | 52.5 | -5 | 0 | 0 | |
| -8.5 | 50 | -5 | 0 | 0 | |
| -8 | 47.5 | -5 | 0 | 0 | |
| -7.5 | 45 | -5 | 0 | 0 | |
| -7 | 42.5 | -5 | 0 | 0 | |
| -6.5 | 40 | -5 | 0 | 0 | |
| -6 | 37.5 | -5 | 0 | 0 | |
| -5.5 | 35 | -5 | 0 | 0 | |
| -5 | 32.5 | -5 | 0 | 0 | |
| -4.5 | 30 | -5 | 0 | 0 | |
| -4 | 27.5 | -5 | 0 | 0 | |
| -3.5 | 25 | -5 | 0 | 0 | |
| -3 | 22.5 | -5 | 0 | 0 | |
| -2.5 | 20 | -5 | 0 | 0 | |
| -2 | 17.5 | -5 | 0 | 0 | |
| -1.5 | 15 | -5 | 0 | 0 | |
| -1 | 12.5 | -5 | 0 | 0 | |
| -0.5 | 10 | -5 | 0 | 0 | |
| 0 | 7.5 | -5 | 0 | 0 | Schnittpunkt Sy(0|7.5) |
| 0.5 | 5 | -5 | 0 | 0 | |
| 1 | 2.5 | -5 | 0 | 0 | |
| 1.5 | 0 | -5 | 0 | 0 | Nullstelle N(1.5|0) |
| 2 | -2.5 | -5 | 0 | 0 | |
| 2.5 | -5 | -5 | 0 | 0 | |
| 3 | -7.5 | -5 | 0 | 0 | |
| 3.5 | -10 | -5 | 0 | 0 | |
| 4 | -12.5 | -5 | 0 | 0 | |
| 4.5 | -15 | -5 | 0 | 0 | |
| 5 | -17.5 | -5 | 0 | 0 | |
| 5.5 | -20 | -5 | 0 | 0 | |
| 6 | -22.5 | -5 | 0 | 0 | |
| 6.5 | -25 | -5 | 0 | 0 | |
| 7 | -27.5 | -5 | 0 | 0 | |
| 7.5 | -30 | -5 | 0 | 0 | |
| 8 | -32.5 | -5 | 0 | 0 | |
| 8.5 | -35 | -5 | 0 | 0 | |
| 9 | -37.5 | -5 | 0 | 0 | |
| 9.5 | -40 | -5 | 0 | 0 | |
| 10 | -42.5 | -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