x

f(x)

-x

f(-x)

Simetría IMPAR:
f(x) = - f(-x)

Desvelando el misterio

O = Intersect(yAxis, xAxis)
h = Line(O, yAxis)
i = Line(O, xAxis)
f(x) = (x - 2.0 * x^(1.0 / 3.0)) / (1.0 / 2.0) * x^(2.0 / 5.0)
A = Point(xAxis)
a = Segment(O, A)
B: (x(A), f(x(A)))
b = Segment(A, B)
c = Segment(B, (0.0, y(B)))
C: (0.0, y(B))
d = Segment(O, C)
A': (-x(A), 0.0)
a' = Segment(O, A')
B': (x(A'), f(x(A')))
b' = Segment(A', B')
c' = Segment(B', (0.0, y(B')))
C': (0.0, y(B'))
d' = Segment(O, C')
e = Segment(B', B)
α = 0 rad (slider from 0 to 3.141592653589793, step 0.017453292519943295)
k = Rotate(yAxis, α, O)
j = Rotate(xAxis, α, O)
f11 = CurveCartesian(t * cos(α) - f(t) * sin(α), t * sin(α) + f(t) * cos(α), t, -1000.0, 1000.0)
D = Rotate(B, α, O)
g = true