Assignments: Sections 4.7 and 5.5
Mr. Miller – PreCalculus
Daniel.Miller@hvs.org
248-676-8320 ext. 7153
www.mrdmillersclassroom.weebly.com
4.7
Monday
1/4
5.5
#1-61 ETO
Tuesday
1/5
#1 – 23 Odd
Wed.
1/6
#25 – 61 Odd
Thursday
1/7
# 63 – 95 Odd
Friday
1/8
5-5 Worksheet
(This is the Test Reviw)
Monday
1/11
Review
Tuesday
1/12
Test Solving Trig Equations
Note: Review Materials are already posted on the class website for the mideterm.
If there is a snow day you should spend that day reviewing for the midterm at home.
If there is a snow day everything gets postponed by a day, meaning we will lose the time to review for the midterm in
class, so you will need to review on that day at home.
Semester 1 Review
Mr. Miller – PreCalculus
Daniel.Miller@hvs.org
248-676-8320 ext. 7153
www.mrdmillersclassroom.weebly.com
4.7
5.5
Wednesday
1/13
Review for Final Calculator Allowed
Thursday
1/14
Review for Final No Calculator Allowed
Friday
1/15
Q&A
Monday
1/18
No School- Martin Luther King day
Tuesday
1/19
Free Response Portion of Exam
Wednesday
1/20
1st Hour Multiple Choice Portion of Exam
Thursday
1/21
5th hour Multiple Choice Portion of Exam
Pre-Calculus
Name_______________
Semester 1 Final Exam Review
Constructed Response- Calculator Allowed
4
3
2
1. Given x  x  7 x  9 x  18 ,
a. List all possible rational zeros
b. Using the graph, synthetic division, and factoring/quadratic formula, find all zeros of the function (you
must sow work for each zero).
2. Graph the function f ( x)  3sin
1
x  
2
a. Period _______ b. amp___________c. phase shift _____________ d. vert shift __________
e. domain _____________ f. range ________________
3. Prove the following identity
sin t cos t

 sin t  cos t
tan t cot t
4. Solve the following equation for all real numbers cos
2
 1
3
Pre-Calculus Final Exam Review
Multiple Choice-Calculator Allowed
1.
You have 600 feet of fencing to enclose a rectangular plot that borders a river. If you do not fence the side
along, the river, find the length and width of the plot that will maximize the area. What is the largest area that
can be enclosed?
2. Convert
5
to degrees.
12
3. Use a calculator to evaluate csc

.
12
4. Find the arc length of the intercepted arc in a circle of radius 13 in. and central angle of 110o.
5. A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of elevation of the sun to the
nearest degree.
6. Solve the equation 2 tan 2x  6.2154 for all real numbers.
MULITPLE CHOICE SECTION Midterm Review
Non-Calculator:
7. Find the domain of the function f ( x) 
1
3 x7
8. Determine the domain of f+g, f-g, fg, and f/g of f ( x) 
9. Find
f
x  4 g ( x)  x  1
g  x  when f ( x)  x 2  1, g ( x)  2  x
10. Write an equation for the inverse function, f 1 ( x) when f  x  
11. What transformation(s) of f ( x) 
12. Graph f  x  
2x 1
x 3
1
3
 x  2   8 , occur based on its parent function?
3
1 2
x , f x   3 x  1
2
13. Divide and express the result in standard form
3  4i
3  4i
14. State whether the function crosses or turns around at each x-intercept f ( x)  x3  6 x 2  9 x
15. Divide and find the remainder f ( x) 
3x 4  2 x 2  8 x  3
x3
16. Use Descarte’s Rule of Signs to determine the amount of possible positive and negative zeros for
f ( x)  2 x 3  x 2  3x  1
17. Find the vertical asymptote(s) of f ( x) 
x4
x  x6
2
x2  x  6
18. Solve the rational inequality f ( x) 
>0
x 1
13

5
 
, sec , csc
, cot  765 , etc.
 , sin  , cos
6
4
6
 2
19. State the correct value for tan  
20. Use the Pythagorean Identity to find sin  , given cos   
21. Find the exact value of the expression cos
4
3
and    
5
2
3
5

 
cos     cos
sin
4
3
2
 6
22. Be able to identify the graphs of each of the six trigonometric functions.
23. Determine the period of y 
2

2
cos  x  
3
4
5
24. Determine whether the following is True or False:
sin x
cos x  1

0
cos x  1
sin x
cos    
 tan   cot 
cos  sin 
25. Determine whether the following is True or False:
26. Use the identities for cos( x + y ) to evaluate cos105
27. Find the exact value using identities for tan  x  y  :
28. Find the exact value of cos     , if cos  
tan 25  tan 35
1  tan 25 tan 35
5
3
,  lies in quadrant I, and sin    ,  lies
17
4
quadrant IV
29. Find the exact value of sin 2 , if sin  
30. Solve for 0  x  2 , sinx  
15
,  lies in quadrant II
17
2
2
2
31. Solve: 2 cos x  3 cos x  1  0 for 0  x  2
in