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Funktion: f(x) = 4-3·2x, Df = R, Wf = (-∞; 4), reelle Funktion, x -> -∞: f(x) -> 4 = y als Grenzkurve, x -> +∞: f(x) -> -∞ ->
| Wertetabelle: | |||||
| x | f(x) | f'(x) | f''(x) | f'''(x) | Besondere Kurvenpunkte |
| -10 | 3.9971 | 0 | 0 | 0 | |
| -9.5 | 3.9959 | 0 | 0 | 0 | |
| -9 | 3.9941 | 0 | 0 | 0 | |
| -8.5 | 3.9917 | -0.01 | 0 | 0 | |
| -8 | 3.9883 | -0.01 | -0.01 | 0 | |
| -7.5 | 3.9834 | -0.01 | -0.01 | -0.01 | |
| -7 | 3.9766 | -0.02 | -0.01 | -0.01 | |
| -6.5 | 3.9669 | -0.02 | -0.02 | -0.01 | |
| -6 | 3.9531 | -0.03 | -0.02 | -0.02 | |
| -5.5 | 3.9337 | -0.05 | -0.03 | -0.02 | |
| -5 | 3.9063 | -0.06 | -0.05 | -0.03 | |
| -4.5 | 3.8674 | -0.09 | -0.06 | -0.04 | |
| -4 | 3.8125 | -0.13 | -0.09 | -0.06 | |
| -3.5 | 3.7348 | -0.18 | -0.13 | -0.09 | |
| -3 | 3.625 | -0.26 | -0.18 | -0.13 | |
| -2.5 | 3.4697 | -0.37 | -0.25 | -0.18 | |
| -2 | 3.25 | -0.52 | -0.36 | -0.25 | |
| -1.5 | 2.9393 | -0.74 | -0.51 | -0.35 | |
| -1 | 2.5 | -1.04 | -0.72 | -0.5 | |
| -0.5 | 1.8787 | -1.47 | -1.02 | -0.71 | |
| 0 | 1 | -2.08 | -1.44 | -1 | Schnittpunkt Sy(0|1) |
| 0.41 | 0 | -2.76 | -1.92 | -1.33 | Nullstelle N(0.41|0) |
| 0.5 | -0.2426 | -2.94 | -2.04 | -1.42 | |
| 1 | -2 | -4.16 | -2.88 | -2.01 | |
| 1.5 | -4.4853 | -5.88 | -4.08 | -2.84 | |
| 2 | -8 | -8.32 | -5.77 | -4.01 | |
| 2.5 | -12.9706 | -11.76 | -8.15 | -5.67 | |
| 3 | -20 | -16.64 | -11.53 | -8.02 | |
| 3.5 | -29.9411 | -23.53 | -16.31 | -11.34 | |
| 4 | -44 | -33.27 | -23.06 | -16.04 | |
| 4.5 | -63.8823 | -47.05 | -32.61 | -22.69 | |
| 5 | -92 | -66.54 | -46.12 | -32.08 | |
| 5.5 | -131.7645 | -94.11 | -65.23 | -45.37 | |
| 6 | -188 | -133.09 | -92.25 | -64.16 | |
| 6.5 | -267.529 | -188.21 | -130.46 | -90.74 | |
| 7 | -380 | -266.17 | -184.49 | -128.33 | |
| 7.5 | -539.058 | -376.42 | -260.91 | -181.48 | |
| 8 | -764 | -532.34 | -368.99 | -256.65 | |
| 8.5 | -1082.116 | -752.84 | -521.83 | -362.96 | |
| 9 | -1532 | -1064.68 | -737.98 | -513.3 | |
| 9.5 | -2168.232 | -1505.69 | -1043.66 | -725.92 | |
| 10 | -3068 | -2129.37 | -1475.96 | -1026.61 | |
| Graph: | |||||
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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