1

2

a = c = r = 1 y = 1 1 + e-x

x y-3

-2

-1

0

1

2

3

1/(1 + e3)

1/(1 + e2)

1/(1 + e)

1/2

1/(1 + 1/e)

1/(1 + 1/e2)

1/(1 + 1/e3)

3

4

5

6

7

8

9

Asymptotes:y = 0, y = 2

y-intercept:y = 2/(1 + 0.4e0)y = 2/1.4y = 10/7

point of max growth:((ln 0.4)/0.3), 1)

10

Asymptotes:y = 0, y = 3

y-intercept:y = 3/(1 + 3e0)y = 3/4

point of max growth:((ln 3)/8), 3/2)

11

1 + 18e-x = 3

18e-x = 2

e-x = 1/9

ln e-x = ln 1/9

-x = ln 1/9

x = ln 9

12

c = c2 1 + ae-rx

2 = 1 + ae-rx

ae-rx = 1

e-rx = 1/a

ln e-rx = ln a-1

-rx = ln a-1

x = (-ln a)/-r = (ln a)/r