Intermediate Algebra (11th edition)

CHAPTER 10 Review Exercises 627

Source:National Soft Drink Association.

Soda Caffeine (mg)

Mountain Dew 55

Diet Coke 45

Dr. Pepper 41

Sunkist Orange Soda 41

Diet Pepsi-Cola 36

Coca-Cola Classic 34

Each function graphed is one-to-one. Graph its inverse.

10.2 Graph each function.

9. 10. 11.

Solve each equation.

15.Sulfur dioxide emissions in the United States, in
millions of tons, from 1970 through 2007 can be
approximated by the exponential function defined by

where corresponds to 1970, to 1975,

and so on. Use this function to approximate, to the

nearest tenth, the amounts for each year. (Source:

U.S. Environmental Protection Agency.)

(a) 1975 (b) 1995 (c) 2005

10.3 Graph each function.

16. (Hint:See Exercise 9.) 17. (Hint:See Exercise 10.)

Solve each equation.

21.log 4 x= 22.logk 4 = 1 23.logb b^2 = 2

3

2

logx a

1

49

log 8 64 =x log 228 =x b =- 2

g 1 x 2 =log 3 x g 1 x 2 =log1/3 x

x= 0 x= 5

S 1 x 2 =33.07 1 1.0241 2 - x,

a

1

27

b

x- 1

52 x+^1 = 25 43 x= 8 x+^4 = 92 x

ƒ 1 x 2 = a y= 22 x+^3

1

3

b

x

ƒ 1 x 2 = 3 x

x

y

03

f

x

y

0

2

f

6.The table lists caffeine amounts in several popular 12-oz sodas. If the set of sodas is the

domain and the set of caffeine amounts is the range of the function consisting of the six

pairs listed, is it a one-to-one function? Why or why not?