Write solution for these problems -Is targeting only mommy bloggers is a good idea and why? -how would J&J guarantee that these bloggers won't give a bad feedback? -if J&J announced about their product only through social media, then how would it reach the other people who don't use social media? -do you see any value in offering this type of incentive for the users? or, is all the benefit for the company only? MATH 115 Precalculus Fall, 2018, V1.4 Page 1 of 7 MATH 115 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided. There are 28 problems. Problems #1–6 are Multiple Choice. Problems #7–17 are Short Answer. (Work not required to be shown) Problems #18–28 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. Solve | 7 – 5x |  8 and write interval notation for the solution set. 1. _______ A. (−∞, − 1 5 ] ∪ [3, ∞) B. (−∞, 3] ∪ [− 1 5 , ∞) C. [− 1 5 , ∞) D. [− 1 5 , 3] 2. Which of the following polynomials has a graph which exhibits the end behavior of upward to the left and upward to the right? 2. ______ A. f (x) = x3 – 3x2 – x B. f (x) = 3x6 + x2 – x C. f (x) = –7x4 – x3 – 5 D. f (x) = –6x5 + x3 + 8 3. Write as an equivalent expression: 9 log x – log (y + 3) + log 1 3. _______ A. 9 log log ( 3) x y + B. ( )log 9 2x y− − C. 9 1 log 3 x y  +   +  D. 9 log 3 x y     +  vvvv MATH 115 Precalculus Fall, 2018, V1.4 Page 2 of 7 4. Determine the interval(s) on which the function is decreasing. 4. ______ A. (–, –3.5)  (0, 3.5) B. (– 5.3, 5.3) C. (– 3.5, 3.5) D. (– 2, 2) 5. Which of the functions corresponds to the graph? 5. ______ A. ( ) 1xf x e−= + B. ( ) 2xf x e−= + C. ( ) 2xf x e−= D. ( ) 2 xf x e−= MATH 115 Precalculus Fall, 2018, V1.4 Page 3 of 7 6. Which of the functions corresponds to the graph? 6. ______ A. f (x) = 3 – sin x B. f (x) = sin x + 3 C. f (x) = 2 cos x + 1 D. f (x) = cos(2x) + 2 SHORT ANSWER: 7. Points (–9, 2) and (–5, 8) are endpoints of the diameter of a circle. (a) What is the exact length of the diameter? (Simplify as much as possible) Answer: ________ (b) What is the center of the circle? Answer: ____________ (c) What is the equation of the circle? Answer: ___________________________ 8. Find the value of the logarithm: log8 ( 1 64 ). Answer: ____________ 9. A salesperso.

1. Write solution for these problems
-Is targeting only mommy bloggers is a good idea and why?
-how would J&J guarantee that these bloggers won't give a bad
feedback?
-if J&J announced about their product only through social
media, then how would it reach the other people who don't use
social media?
-do you see any value in offering this type of incentive for the
users? or, is all the benefit for the company only?
MATH 115 Precalculus Fall, 2018, V1.4
Page 1 of 7
MATH 115 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and
other course materials as you work
on the exam, and you may use a calculator. You must complete
the exam individually.
Neither collaboration nor consultation with others is allowed.

2. Record your answers and work on the separate answer sheet
provided.
There are 28 problems.
Problems #1–6 are Multiple Choice.
Problems #7–17 are Short Answer. (Work not required to be
shown)
Problems #18–28 are Short Answer with work required to be
shown.
MULTIPLE CHOICE
1. Solve | 7 –
solution set. 1. _______
A. (−∞, −
1
5
] ∪ [3, ∞)
B. (−∞, 3] ∪ [−
1
5
, ∞)

3. C. [−
1
5
, ∞)
D. [−
1
5
, 3]
2. Which of the following polynomials has a graph which
exhibits the end behavior of
upward to the left and upward to the right?
2. ______
A. f (x) = x3 – 3x2 – x
B. f (x) = 3x6 + x2 – x
C. f (x) = –7x4 – x3 – 5
D. f (x) = –6x5 + x3 + 8
3. Write as an equivalent expression: 9 log x – log (y + 3) +
log 1 3. _______

4. A.
9
log
log ( 3)
x
y +
B. ( )log 9 2x y− −
C.
9 1
log
3
x
y
D.
9

5. log
3
x
y
vvvv
MATH 115 Precalculus Fall, 2018, V1.4
Page 2 of 7
4. Determine the interval(s) on which the function is decreasing.
4. ______
A. (– –
B. (– 5.3, 5.3)
C. (– 3.5, 3.5)

6. D. (– 2, 2)
5. Which of the functions corresponds to the graph? 5. ______
A. ( ) 1xf x e−= +
B. ( ) 2xf x e−= +
C. ( ) 2xf x e−=
D. ( ) 2 xf x e−=
MATH 115 Precalculus Fall, 2018, V1.4
Page 3 of 7
6. Which of the functions corresponds to the graph? 6. ______
A. f (x) = 3 – sin x
B. f (x) = sin x + 3

7. C. f (x) = 2 cos x + 1
D. f (x) = cos(2x) + 2
SHORT ANSWER:
7. Points (–9, 2) and (–5, 8) are endpoints of the diameter of a
circle.
(a) What is the exact length of the diameter? (Simplify as
much as possible) Answer: ________
(b) What is the center of the circle? Answer:
____________
(c) What is the equation of the circle? Answer:
___________________________
8. Find the value of the logarithm: log8 (
1
64
). Answer: ____________

8. 9. A salesperson earns a base salary of $1,020 per month and a
commission of 7.8% on the
amount of sales. If the salesperson has a paycheck of $4,725 for
one month, what was the
amount of sales for the month?
Answer: _____________
MATH 115 Precalculus Fall, 2018, V1.4
Page 4 of 7
. is placed in a room of constant
temperature T of the soup t minutes after it is placed in the
room is given by
T(t) = 60 + 110 e – 0.075 t
Find the temperature of the soup 8 minutes after it is placed in
the room. (Round to the nearest
degree.)
Answer: _________

9. 11. Given the function �(�) =
3
8
−
1
6
�, find a formula for the inverse function.
Answer: __________________
12. (a) State the reference angle associated with 300°.
Answer: ________
(b) Convert 300° to radians. Leave the answer in terms of
Answer: ________
13. Given y = 7 sin(4x –
(a) period
Answer: ________
(b) phase shift
Answer: ________

10. 14. Solve the trigonometric equation (√2 sin(�) + 1)(2 cos(�)
+ 1) = 0
in the interval [0, 360°). Find the exact values of the
solutions in degrees.
Answer: _________________
15. (a) Find the exact value of arccos (tan
5�
4
) Answer: ________
(b) Find the exact value of arcsin (sin
2�
3
) Answer: ________
16. For the parabola given by (y – 2)2 = –8(x + 7), find the
following:
(a) direction parabola opens (to the left, right, up, or down)
Answer: ___________

11. (b) vertex
Answer: ___________
(c) focus
Answer: ___________
MATH 115 Precalculus Fall, 2018, V1.4
Page 5 of 7
17. Let
2 4
( )
3
x
f x
x
−
=
−
.
(a) State the domain. Answer: _________________

12. (b) State the horizontal asymptote. Answer:
_________________
(c) State the vertical asymptote(s). Answer:
_________________
(d) Which of the following represents the graph of
2 4
( )
3
x
f x
x
−
=
−
? Answer: ______________
GRAPH A. GRAPH B.
GRAPH C. GRAPH D.

13. MATH 115 Precalculus Fall, 2018, V1.4
Page 6 of 7
SHORT ANSWER, with work required to be shown, as
indicated.
18. Find the equation for a line which passes through the points
(–1, 9) and (3, 1). Write the
equation in slope-intercept form. Show work.
19. Find the exact solutions and simplify as much as possible:
8x2 = 12x + 5. Show work.
20. Let f (x) = 5x2 + 8 and g(x) = x − 3.
(a) Find the composite function ))(( xgf o and simplify. Show
work.
(b) Find )1)(( −g

14. 21. A projectile is launched from a platform 25 feet high with
an initial velocity of 112 feet per second,
The height h of the projectile at t seconds after launch is given
by h = –16t2 + 112t + 25 feet.
(a) How many seconds after launch does the projectile attain
maximum height? Show work.
(b) What is the maximum height? Show work.
22. Solve:
2
0
8 30
5 25
x
x x
=
−
+
− −
. Show work.

15. 24. Prove the identity (sin x – cos x)2 = 1 – sin(2x)
MATH 115 Precalculus Fall, 2018, V1.4
Page 7 of 7
25. From a point 63 feet from the base of a redwood tree, the
angle of elevation to the top of the
tree is 51.8°. Find the height of the tree to the nearest foot.
Show work.
(sketch is not to scale)

16. and c = 16.0.
Find the length of side b, rounded to the nearest tenth. Show
work.
27. Let ���� −3 and ����
(b) Calculate the dot product ���� ∙ ���� . Show work.
(c) Determine the angle between ���� and ���� . Round
the result to the nearest degree. Show work.
28. An ellipse has the equation
(� − 5)2
25
+
(� + 1)2
49
= 1

17. (a) Is the major axis horizontal or vertical?
(b) Find the exact values of the foci of the ellipse. Show work.