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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: | |||||
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