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Funktion: f(x) = -8+3x/4, Df = R, Wf = (-8; +∞), reelle Funktion, x -> -∞: f(x) -> -8 = y als Grenzkurve, x -> +∞: f(x) -> +∞ ->
Wertetabelle: | |||||
x | f(x) | f'(x) | f''(x) | f'''(x) | Besondere Kurvenpunkte |
-10 | -8 | 0 | 0 | 0 | |
-9.5 | -8 | 0 | 0 | 0 | |
-9 | -8 | 0 | 0 | 0 | |
-8.5 | -8 | 0 | 0 | 0 | |
-8 | -8 | 0 | 0 | 0 | |
-7.5 | -7.9999 | 0 | 0 | 0 | |
-7 | -7.9999 | 0 | 0 | 0 | |
-6.5 | -7.9998 | 0 | 0 | 0 | |
-6 | -7.9997 | 0 | 0 | 0 | |
-5.5 | -7.9994 | 0 | 0 | 0 | |
-5 | -7.999 | 0 | 0 | 0 | |
-4.5 | -7.9982 | 0 | 0 | 0 | |
-4 | -7.9969 | 0 | 0 | 0 | |
-3.5 | -7.9947 | 0.01 | 0.01 | 0.01 | |
-3 | -7.9907 | 0.01 | 0.01 | 0.01 | |
-2.5 | -7.984 | 0.02 | 0.02 | 0.02 | |
-2 | -7.9722 | 0.03 | 0.03 | 0.04 | |
-1.5 | -7.9519 | 0.05 | 0.06 | 0.06 | |
-1 | -7.9167 | 0.09 | 0.1 | 0.11 | |
-0.5 | -7.8557 | 0.16 | 0.17 | 0.19 | |
0 | -7.75 | 0.27 | 0.3 | 0.33 | Schnittpunkt Sy(0|-7.75) |
0.5 | -7.567 | 0.48 | 0.52 | 0.58 | |
1 | -7.25 | 0.82 | 0.91 | 1 | |
1.5 | -6.701 | 1.43 | 1.57 | 1.73 | |
2 | -5.75 | 2.47 | 2.72 | 3 | |
2.5 | -4.1029 | 4.28 | 4.7 | 5.2 | |
3 | -1.25 | 7.42 | 8.15 | 9 | |
3.15 | 0 | 8.74 | 9.61 | 10.61 | Nullstelle N(3.15|0) |
3.5 | 3.6913 | 12.84 | 14.11 | 15.59 | |
4 | 12.25 | 22.25 | 24.44 | 27 | |
4.5 | 27.074 | 38.53 | 42.33 | 46.76 | |
5 | 52.75 | 66.74 | 73.32 | 81 | |
5.5 | 97.2221 | 115.6 | 127 | 140.29 | |
6 | 174.25 | 200.23 | 219.97 | 242.99 | |
6.5 | 307.6663 | 346.8 | 381 | 420.88 | |
7 | 538.75 | 600.68 | 659.91 | 728.98 | |
7.5 | 938.9988 | 1040.41 | 1142.99 | 1262.63 | |
8 | 1632.25 | 1802.04 | 1979.72 | 2186.93 | |
8.5 | 2832.9963 | 3121.22 | 3428.97 | 3787.88 | |
9 | 4912.75 | 5406.11 | 5939.15 | 6560.8 | |
9.5 | 8514.989 | 9363.65 | 10286.92 | 11363.64 | |
10 | 14754.25 | 16218.32 | 17817.46 | 19682.4 | |
Graph: | |||||
Graph(en) der Asymptote(n), Grenzkurve(n).
Abkürzungen: Df = (maximaler) Definitionsbereich, f(x) = Funktion, f'(x) = 1. Ableitung, f''(x) = 2. Ableitung, f'''(x) = 3. Ableitung, H = Hochpunkt, L = Lücke, N = Nullstelle, P = Polstelle, R = reelle Zahlen, S = Sprungstelle, T = Tiefpunkt, W = Wendepunkt, WS = Sattelpunkt, Wf = Wertebereich, {.} = ein-/mehrelementige Menge, [.; .] = abgeschlossenes Intervall, (.; .) = offenes Intervall, [.; .), (.; .] = halboffenes Intervall, ∞ = unendlich.
Bearbeiter: Michael Buhlmann