1. The graph of y = 4sin (3x + 2) + 1 has amplitude of:

Select one:

a. 0

b. 1

c. 2

d. 3

e. 4

2.What is the exact value of sin (22.5 degrees)?

Select one:

a. .383

b. sqrt (2)

c. sqrt ((2 - sqrt(2)) / 4)

d. sqrt ((2 + sqrt (2)) / 4)

e. Impossible

3.What is the exact value of sin (120 degrees)?

Select one:

a.

b. .866

c. 3/2

d. -1/2

e. None of these

4.What the equation of the line passing through (-1, 4) and parallel to y = 2x + 1?

Select one:

a. y = 2x + 6

b. y = 2x + 1

c. y = 2x

d. No such line exists

e. None of these

5.The half-life of carbon 14 is 5,730 years. Approximately, how old is a bone that has

70% of its original carbon 14?

Select one:

a. 500 years

b. 1,000 years

c. 4,000 years

d. 3,000 years

e. None of these

6. the graph of y = -2 sin (x - 2) + 1 has amplitude of:

Select one:

a. 0

b. 1

c. 2

d. 3

e. 4

7.f an ant is 100 feet away from a tree growing straight up, and the ant has to look up at

an angle of 68 degrees to see the top of the tree, how tall is the tree? Select the closest

answer.

Select one:

a. 200 feet

b. 140 feet

c. 80 feet

d. 20 feet

e. 10 feet

8.What is the vertex of f(x) = x + 4x + 2?

Select one:

a. (2, 2)

b. (- 2, - 2)

c. (- 2, 2)

d. (2, - 2)

e. None of these

9.What are the possible rational roots of f(x) = x -7x + 8?

Select one:

a. {8}

b. {+-1, +-2, +-7, +-8}

c. {+-1, +-2,+-8}

d. {+-1, +-8}

e. {+-1, +-2, +-4, +-8}

10.What is the equation of the line passing through (-1, 4) and parallel to y = 2x + 1?

Select one:

a. y = 2x + 6

b. y = 2x + 1

c. y = 2x

d. No such line exists

e. None of these

11.What are the possible rational roots of f(x) = 3x - x + x - x + 5?

Select one:

a. {1, 5}

b. {1/3, 5/3}

c. {1, 1/3, 5, 5/3}

d. {1, 1/5, 3, 3/5}

e. {1, 1/3, 5, 5/3}

thanks alot for your help - i appreciate your work