Intermediate Algebra (11th edition)

2.Find for the one-to-one function defined by.

3.Graph the inverse of ƒ, given the graph of ƒ.

Graph each function.

4. 
   
   
   
   5. 6.Explain how the graph of the function in Exercise 5can be obtained from the graph of the
      function in Exercise 4.
   
   
   
   

Solve each equation. Give the exact solution.

9.A 2008 report predicted that the U.S. Hispanic

population will increase from 46.9 million in 2008

to 132.8 million in 2050. (Source:U.S. Census

Bureau.) Assuming an exponential growth pattern,

the population is approximated by

where xrepresents the number of years since 2008.

Use this function to approximate, to the nearest

tenth, the Hispanic population in each year.

(a) 2015 (b) 2030

10.Write in logarithmic form:.

11.Write in exponential form:.

Solve each equation.

15.Concept Check Fill in the blanks with the correct responses: The value of is

. This means that if we raise to the power, the result is.

Use properties of logarithms to write each expression as a sum or difference of logarithms.
Assume that variables represent positive real numbers.

16. 17.

Use properties of logarithms to write each expression as a single logarithm. Assume that vari-
ables represent positive real numbers,.

20.Use a calculator to approximate each logarithm to four decimal places.

(a)log 23.1 (b)ln 0.82

1

4

logb r+2 logb s-

2

3

3 logb s-logb t logb t

bZ 1

log 5 ¢

2 x

yz

log 3 x^2 y ≤

log 2 32

log1/2 x=- 5 x=log 9 3 logx 16 = 4

log 7 49 = 2

4 -^2 =0.0625

ƒ 1 x 2 =46.9e0.0247x,

5 x= 23 x-^7 = 82 x+^2

1

625

ƒ 1 x 2 = 6 x g 1 x 2 =log 6 x

ƒ -^11 x 2 ƒ 1 x 2 = 23 x+ 7

x

y

0

–3

–2 2 4

CHAPTER 10 Test 631