Funktionenschar

Funktionenschar
G.Roolfs
3
fk (x ) = 3x 2 − k x 3
y
3
2
1
-1
1
2
x
3
fk (x ) = 3x 2 − k x 3
y
3
2
1
-1
1
k=1
2
x
3
fk (x ) = 3x 2 − k x 3
y
3
2
1
-1
1
2
3
k = 1k = 2
x
3
fk (x ) = 3x 2 − k x 3
y
3
2
1
-1
1
2
3
k = 1k = 2 k = 2
x
3
fk (x ) = 3x 2 − k x 3
y
3
2
1
-1
1
2
3
x
5
k = 1k = 2 k = 2k = 2
3
fk (x ) = 3x 2 − k x 3
y
3
2
1
-1
Min( 0 | 0 ),
2
4
Max( 3 k | 9 k 2 )
1
2
3
x
5
k = 1k = 2 k = 2k = 2
fk (x ) = x 4 − kx 2 + 2
y
3
2
1
-2
-1
1
-1
-2
2
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
3
2
1
-2
-1
1
-1
-2
2
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
3
2
1
-2
-1
1
-1
-2
2
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
3
2
1
-2
-1
1
-1
-2
2
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
k=4
3
2
1
-2
-1
1
-1
-2
2
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
k=4
3
2
bc
bc
bc
-2
bc
bc
1
-1
bc
1
bc
bc
-1
2
-2
bc
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
k=4
3
2
bc
bc
bc
-2
bc
bc
1
-1
bc
1
bc
bc
-1
2
-2
bc
x
fk (x ) = x 4 − kx 2 + 2
y
k=1
k=4
3
2
bc
bc
bc
-2
bc
bc
1
-1
bc
1
bc
2
Max( 0 | 2 ),
-1
bc
-2
x
bc
Min 1/2 ( ±
q
k
2
|2−
k2
4
)
fk (x ) = x 4 − kx 2 + 2
y
k=1
k=4
3
2
bc
bc
bc
-2
bc
bc
1
-1
bc
1
bc
2
Max( 0 | 2 ),
-1
bc
-2
x
bc
Min 1/2 ( ±
q
k
2
|2−
Ortskurve g (x ) = 2 − x 4
k2
4
)