函數的遞增與遞減
Author: 藍邦偉  老師
Date: 17 12 月 2012

$x=%v$

$ O $

$ 函數的遞增與遞減 $

$ (嚴格)遞減 $
$x變大\;y變小$

$ (嚴格)遞增 $
$x越大\; y越大$

$ P $

$ P $

$ Q $

$ Q $

t = -2 (slider from x(G) to x(Corner[2]) - 1, step 0.01)
A_4 = (-0.9034275420360304, 3.4412178978945462)
A_6 = (9.333149537467694, -2.5555828539042746)
A_5 = (3.737408708559875, -0.30200804908815704)
f_2 = Polynomial({A_4, A_5, A_6})
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
O = (0, 0)
Q_2: 0.8 * Corner[1] + 0.2 * Corner[2]
Q_3: (x(Q_2), y(Corner[4]))
poly1, q_1, q_2, q_4, q_3 = Polygon(Corner[1], Q_2, Q_3, Corner[4])
A_1 = (-1.6482531131193239, -1.447893543062454)
A_2 = (3.279054510970156, 2.6963923268112535)
A_3 = (7.003182366386623, 4.147847285845363)
f_1 = Polynomial({A_1, A_2, A_3})
n = 0 (slider from 0 to 4, step 1)
H: (t, f_2(t))
G: (-2, f_2(-2))
f_3 = Function(f_2, x(G), x(H))
A = (-6.231795089016514, 4.281533926809031)
Q: (t, f_1(t))
P: (-2, f_1(-2))
f_4 = Function(f_1, x(P), x(Q))
text6: "$ P(" + (LaTeX[x(G)]) + "," + (LaTeX[y(G)]) + ") $"
text7: "$ Q(" + (LaTeX[x(H)]) + "," + (LaTeX[y(H)]) + ") $"
text8: "$ P(" + (LaTeX[x(P)]) + "," + (LaTeX[y(P)]) + ") $"
text9: "$ Q(" + (LaTeX[x(Q)]) + "," + (LaTeX[y(Q)]) + ") $"