奇函數
Author: 藍邦偉老師

x

(x,f(X))

f(x)

-x

(-x,-f(x))

-f(x)

$ f(x) $

$ (x,f(x)) $

$ x $

$ 奇函數 $
$f(-x)=-f(x)$

$-f(x) $

$ -x $

$ (-x,-f(x)) $

1

$ 顯示說明 $

a = 4.8 (slider from -10 to 10, step 0.1)
n = 1.3 (slider from 0.5 to 3, step 0.1)
A = Point(xAxis)
f(x) = a * x / (3 * x^(2) + 1)^(n)
P: (x(A), f(x(A)))
c_1 = Segment(P, A)
Q: (0, f(x(A)))
c_2 = Segment(P, Q)
C: (-x(A), 0)
D: (-x(A), -f(x(A)))
c_3 = Segment(D, C)
E: (0, -f(x(A)))
c_4 = Segment(D, E)
g = Segment(P, D)
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
t_f: "$f(x)= " + (LaTeX[f]) + " $"
b = false