Professor: Ms. Chowdhury MATH 107 Fall 2015 Name___________________________________ Date ________________ INSTRUCTIONS

The quiz is worth 35 points. There are 10 multiple choice (2 points) and 5 (3 points) short answer problems.

This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and , but you may not consult anyone.

You must show all of your work for the short answers to receive full credit. If you do not show work, you may earn only partial or no credit at the discretion of the professor.

Please type your answers on the table provided in the answer sheet, then create a separate document containing your work. is also acceptable. Be sure to include your name in the document. Review instructions for submitting your quiz in the .

If you have any questions, please contact me by e-mail.

You must sign and date the honor statement found in the separate answer sheet or your quiz will be invalid.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Approximate the number using a calculator. Round your answer to three decimal places. 1) e1.6 1)

A) 3.588 B) 4.953 C) 5.253 D) 4.349

Evaluate the expression without using a calculator.

2) log4 1 4

2)

A) – 1 2

B) 1 4

C) 1 2

D) – 1 4

3) 644/3 3) A) 1024 B) 4096 C) 16,384 D) 256

1

Find the domain of the logarithmic function.

4) f(x) = log x + 4 x – 4

4)

A) (- , -4) (4, ) B) (- , -4) C) (-4, 4) D) (4, )

Find the inverse of the one-to-one function.

5) f(x) = 3

x + 8 5)

A) f-1(x) = x3 – 8 B) f-1(x) = x3 + 64 C) f-1(x) = 1

x3 – 8 D) f-1(x) = x – 8

Solve the problem.

6) The logistic growth function f(t) = 42,000

1 + 599.0e-1.4t models the number of people who have become

ill with a particular infection t weeks after its initial outbreak in a particular community. What is the limiting size of the population that becomes ill?

6)

A) 84,000 people B) 42,000 people C) 599 people D) 600 people

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places 7) log 26 382 7)

A) 1.1671 B) 1.8248 C) 3.9970 D) 0.5480

Use the compound interest formulas A = P 1 + r n

nt and A = Pert to solve.

8) Find the accumulated value of an investment of $140 at 12% compounded annually for 9 years. 8) A) $346.63 B) $291.20 C) $388.23 D) $274.40

Write the equation in its . 9) log 4 64 = 3 9)

A) 43 = 64 B) 464 = 3 C) 643 = 4 D) 34 = 64

Write the equation in its equivalent logarithmic form.

10) 3

343 = 7 10)

A) log 343 7 = 1 3

B) log 343 3 = 1 7

C) log 7 343 = 3 D) log 7 343 = 1 3

SHORT ANSWER. You must show all your work to receive full credit.

Find the domain of the composite function f g.

11) f(x) = x + 1, g(x) = 4

x + 6 11)

2

Graph the function by making a table of coordinates.

12) f(x) = 1 2

x 12)

Solve the problem. 13) The rabbit population in a at the rate of 9% monthly. If there are 220

rabbits in April, find how many rabbits (rounded to the nearest whole number) should be expected by next April. Use y = 220(2.7)0.09t.

13)

Solve the radical equation, and check all proposed solutions. 14) 18x – 9 = x + 4 14)

Solve. 15) The function A = A0e-0.0077x models the amount in pounds of a particular radioactive

material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 pounds of the material are initially put into the vault, how many pounds will be left after 70 years?

15)

3