MAC 1147Fall 2015

EXAM Final A

A. Sign and date your scantron on the back at the bottom.

B. In pencil, write and encode in the spaces indicated on your scantron:

1) Name (last name, first initial, middle initial)

2) UF ID Number3) Section Number

c. Under "special codes" on your scantron, code in the test ID number 5, l.

1234. 6 7 8 9 0

• 2 3 4 5 678 9 0

D. At the top right of your scantron, for "Test Form Code", encode A.

• BCD E

E. 1) There are twenty-one 5-point multiple-choice questions for a total of 105 points.

2) The time allowed is 120 minutes.3) You may write on the test.4) Raise your hand if you need more scratch paper or if you have a problem with

your test. DO NOT LEAVE YOUR SEAT UNLESS YOU ARE FINISHEDWITH THE TEST.

F. KEEP YOUR SCANTRON COVERED AT ALL TIMES.

G. When you are finished:

1) Before turning in your test, check for transcribing errors. Any mistakes you leavein are there to stay.

2) Take your test, scratch paper, and scantron to your TA. Be prepared to showyour UF ID card.

3) Answers will be posted in E-Learning after the exam.

H. By taking this exam, you agree to the followingHonor Pledge:

"I will neither give nor receive any unauthorized aid for this exam."

MAC 1147 - Fall 2015 - EXAM Final A - v

Questions 1-21 are worth 5 points each.

1. Use the Leading Coefficient Test to determine the end behavior of

f(x) = 3x4 - 15x2 + 18x.

A. Rises to the left, rises to the right C. Falls to the left, rises to the right

B. Falls to the left, falls to the right D. Rises to the left, falls to the right

2. Graph the function and determine the intervals on which it is decreasing:

{

-2X + 3f(x) = 7

(x - 4)2 - 2

if x < -2,if - 2:::; x < 1,ifx2:1.

A. (-00, -2) U(1,4)

D. (-4,-1) U(4,00)

B. (-2,-1)U(1,00)

E. (-00,-2) U(4,00)

C. (-00, -1) U(1,4)

3. Perform the operation and simplify.

sin () cos ()---+--1+ cos () sin ()

A. esc () B. cos'' o D. sec () E. sirr' ()

lA

MAC 1147 - Fall 2015 - EXAM Final A

4. Simplify: (4X)5/2. 4-3/2• X-6.

AV2X. 2X4

C y'x. 2X4

4D. IxT

5. Find the period of y = ~cos (~X).47f

A. 987f

B. 997f

C. 267f

D. 7 E97f

. 8

6. Calculate (J 0 g)(x) when f(x) = x2 + 4x and g(x) = x + 2.

A. x2 + 8x + 2

D. x2 + 8x +6

B. x2 + 7x + 10

E. x2 + 8x +4

C. x2 + 8x + 12

2A

MAC 1147 - Fall 2015 - EXAM Final A

7. Given cosu = -~ and tanu > 0, find sin2u.

B. 2425

, 7C. 25

7D. 25

24

A. Correct answer is not given.

E.25

G· f() x2 + X - 6 hi h ?8. rven x = x2 + 2x _ 8' w IC are true.

P. The x-intercepts is (-3,0) only.

Q. The y-intercept is (0,0).

R. There is a hole in the graph at (2,0).

A. P only

D. P, and Q only

B. Q only

E. R only

C. They are all false.

3A

MAC 1147 - Fall 2015 - EXAM Final A

9. Given y = V2x - 4, which are true?

P. The x-intercept is (4, 0).

Q. The y-intercept is (0, -2).

R. The graph is symmetric with respect to the z-axis.

A. Q only

D. P and Q only

B. P only C. R only

E. They are all false.

10. The Chemistry Club and the German Club had their meeting at the local pizza place.The Chemistry Club had three large pizzas and four pitchers of coke for a cost of $61.The German Club had two large pizzas and three pitchers of coke for a cost of $42.Find the total cost of one large pizza and one pitcher of coke. Hint: Solve the systemof equations first, then add up the cost of one large pizza and one pitcher of coke.

A. 18 B. 20 C. 19 D. 16 E. 17

11. Write an algebraic expression equivalent to the given expression.

cot (arccos ( ~) )

A.V9-x B. fi C.

V9x - x2

x 9-x 9-x

D.y'x(9 - x) E.

V9-xx y'x

4A

MAC 1147 - Fall 2015 - EXAM Final A

12. Solve the inequality.5 + 7x < 41+2x -

A. (-00,-1/2)U[1,00)

B. (-00, -1) U (1/2,00)

c. [1,00)

D. (-1/2,1]

E. (-00, -1] U [1/2,00)

13. Solve the absolute value inequality.

6 -Ix + 11 < 2

A. (-7,3)

D. (-00, -5) U(3,00)

B. (-4,4)

E. (-00,-7)U(3,00)

c. (-00, -4) U (4,00)

14. Find an equation of the line passing through (-3,2) and perpendicular to the line3x + 4y = 7.

A. 4x + 3y + 1= 0

D. 4x + 3y + 6 = 0

B. 4x - 3y + 18= 0

E. 3x - 4y + 17= 0

c. 3x + 4y + 1 = 0

5A

MAC 1147 - Fall 2015 - EXAM Final A

15. Which are true?

P. The graph of f(x) =log2x contains the point (8,3).

Q. The domain of -log3x +2 is (-2, 00).

R. The x-intercept of h(x) =log4(x - 3) is 4.

A. P, Q only

D. P only

B. P, R only C. Q, R only

E. R only

16. A passenger in an airplane at an altitude of 10 kilometers sees two towns directly tothe east of the plane. The angles of depression to the towns are 30° and 45°. Howmany kilometers apart are the towns?

A. 5V3 - 5 B. 5V3 -10 C 5V3 -10. 2

D. 10V3 - 5 E. 1OV3-1O

17. Find the solution to each equation below. What is x + y?

2x-3 = 16 and 4 logs 6y = 12

163A.

6165

B. 6161

C. 6D. 167

6141

E.6

18. Find the exact value of sec (;2)'A. 2V3 - 2V2D. v'6+V2

B. v'6 - V2E. 2V3+ 2V2

C. -v'6 - V2

6A

MAC 1147 - Fall 2015 - EXAM Final A

19. Graph f(x) = 4x-2 - 3. Which are true?

P. The horizontal asymptote is y = 2.

Q. The graph is found in quadrants I, III and IV only.

R. The domain is (2,00).

A. They are all false.

D. P only

B. Q and R only

E. Q only

C. P and R only

20. Perform the operation and write the answer in standard form:

(2+ 3i)(4 - 5i).

A. -7 + 2i B. 8 - 15i C. 8+ 15i D. 6 - 2i E. 23 + 2i

21. Find all solutions of the equation. ~ tarr' (~) = 1

27r 47rA. "3" + 27rn or "3" + 27rn

7r 27rB. - + 47rn or - + 47rn

3 327r 47r

C. "3" + 47rn or "3" + 47rn

7r 27rD. "3 + ttri or "3" + nri

7r 27rE. "3 + 27rn or "3" +27rn

7A