n positiv, n gerade

n positiv, n ungerade

n negativ, n gerade

n negativ, n ungerade

Asymptote

Asymptote

Funktion: a * (x + d)^n + e

n: Ordnung der Potenzfunktion
a: Streckfaktor
d: Verschiebung links/rechts
e: Verschiebung oben/unten

a = 1 (slider from 0.1 to 10, step 0.1)
d = 0 (slider from -5 to 5, step 0.1)
e = 0 (slider from -5 to 5, step 0.1)
n_1 = 2 (slider from 2 to 20, step 2)
f(x) = a (x + d)^(n_1) + e
b = true
n_2 = 3 (slider from 3 to 21, step 2)
g(x) = a (x + d)^(n_2) + e
c = false
n_3 = -2 (slider from -20 to -2, step 2)
h(x) = a (x + d)^(n_3) + e
i: x = -d
j: y = e
k = false
n_4 = -1 (slider from -21 to -1, step 2)
f1(x) = a (x + d)^(n_4) + e
A: (-d + 1, a + e)
B: (-d - 1, -a + e)
C: (-d - 1, a + e)
D: (-d + 1, a + e)
E: (-d + 1, a + e)
F: (-d - 1, -a + e)
G: (-d + 1, a + e)
H: (-d - 1, a + e)
l = false
I: (-d, e)
J: (-d, e)