常見的連續函數
Author: 藍邦偉  老師

$ O $

$ 常見的連續函數 $

$ 多項式函數 $

$ 指數函數 $

$ 對數函數 $

$ 根式函數 $

$ 正弦函數 $

$ 餘弦函數 $

n = 2 (slider from 2 to 5, step 1)
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
Q_2: 0.8 * Corner[1] + 0.2 * Corner[2]
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
O = (0, 0)
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 = (-3, 3)
B = (1, 1)
C = (3, -1)
D = (5, 2)
f_1 = Polynomial({A, B, C, D})
Case = 0 (slider from 0 to 6, step 1)
t = -6.205057760823781 (slider from If[n ≠ 3, x(Q_2), 0.01] to x(Corner[2]))
F_1 = Function(f_1, x(Q_2), t)
a = 2 (slider from 0.01 to 5, step 0.01)
f_2(x) = a^(x)
F_2 = Function(f_2, x(Q_2), t)
f_3(x) = lg(x) / lg(a)
F_3 = Function(f_3, x(Q_2), t)
f_4(x) = x^(1 / n)
f_5(x) = sin(x)
f_6(x) = cos(x)
F_5 = Function(f_5, x(Q_2), t)
F_6 = Function(f_6, x(Q_2), t)
F_4 = Function(f_4, x(Q_2), t)
b = If(Case ≠ 3, t = x(Q_2), 0.01)
c = If(Case ≠ 3, t = x(Q_2), 0.01)
d = If(Case ≠ 3, t = x(Q_2), 0.01)
E = (-9.172901190217212, 3.995062553315458)