偶函數
Author: 藍邦偉老師

x

(x,f(X))

f(x)

(-x,f(-x))

-x

判別:偶函數f(-x)=f(x)

f(-x)

$ 偶函數 $
$f(-x)=f(x)$

$ x $

$ -x $

$ (x,f(x)) $

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

$ f(x) $

$ f(-x) $

$ 顯示說明 $

a = 0.6 (slider from -10 to 10, step 0.1)
n = 2 (slider from 2 to 10, step 2)
f(x) = a * x^(n)
A = Point(xAxis)
P: (x(A), f(x(A)))
c = Segment(P, A)
Q: (0, f(x(A)))
d = Segment(P, Q)
B: (-x(A), f(x(A)))
C: (-x(A), 0)
g = Segment(B, C)
j = Segment(Q, B)
k = false
Q': (0, f(x(A)))
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
t_f: "f(x)=" + f
Q_2: 0.2 * Corner[2] + 0.8 * Corner[1]
Q_3: (x(Q_2), y(Corner[3]))
poly1, b, q_2, q_3, e = Polygon(Corner[1], Q_2, Q_3, Corner[4])