7 2 (3)Curve Family III k = −1 k = +3 ye= 1 − x 2 fk(x) = e 2k − x + x − 3k k = −1

Curve Family I

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

- 6

k = 7

k = −7 f

e

(x) = − 1

20 (x

³

+ 3x)

f

_k

(x) = 1

10 (x

³

+ kx

²

+ k) k = −7 . . . + 7

1

Curve Family II

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

- 6

k = 7

k = −7 f

e

(x) = − 1

20 (x

³

− x)

f

_k

(x) = 1

10 (x

³

+ kx

²

+ x) k = −7 . . . + 7

2

Curve Family III

-5 -4 -3 -2 -1 1 2 3 4 5 6 7 8

-3 -2 -1 1 2 3 4 5 6 7 8

- 6

k = −1 k = +3

y

e

= 1 − x 2

f

_k

(x) = e 2k − x + x − 3k k = −1 . . . + 3

3