Exam Review PRE CALCULUS Fall Semester 2009 1. Express 5 x in interval notation. A) 5 , B) , 5 C) 5 , D) 5 , 2. Solve ) 2 5 ( 3 12 3 2 x x 3. Solve 10 3 2 x A) , 2 7 B) , , 2 7 2 13 C) , , 2 7 2 13 D) , 2 13 4. Simplify using only positive exponents: 3 4 3 2 y a A) 12 9 8 1 y a B) 7 8 y C) 7 6 8 1 y a D) 12 9 8 y a 5. Given x x x h 2 2 ) ( , evaluate ) 3 ( x h A) ) 3 )( 5 2 ( x x B) 15 2 2 x x C) 33 4 2 x x D) 18 12 2 2 x x
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Exam Review PRE CALCULUS Fall Semester 2009
1. Express 5x in interval notation. A) 5, B) ,5 C) 5, D) 5,
2. Solve )25(31232 xx
3. Solve 1032 x
A) ,27 B) ,,
27
213
C) ,,27
213 D) ,
213
4. Simplify using only positive exponents:
3
4
32
y
a
A) 1298
1
ya B) 78y C)
768
1
ya D) 1298 ya
5. Given xxxh 22)( , evaluate )3( xh
A) )3)(52( xx B) 152 2 xx C) 334 2 xx D) 18122 2 xx
Exam Review PRE CALCULUS Fall Semester 2009
6. Which is the graph of ?
A)
x and y scale: 1 unit each
B)
x and y scale: 1 unit each
C)
x and y scale: 1 unit each
D)
x and y scale: 1 unit each
7. Which is an equation of the line through the point 4,1 with slope of 5?
A) 4y B) 15 xy C) xy 5 D) 95 xy
8. Which is the equation for the following graph? A) ||2 xy B) |12| xy
C) |1|2 xy D) 1||2 xy
9. If xxxf 22)( and 4)( xxg , find xgf
A) 42 2 xx B) xx 22 C) 1682 xx D) 924 xx
10. Evaluate 4
sec
11. Find the inverse function of2
3)(
3
xxf
Exam Review PRE CALCULUS Fall Semester 2009
12. Which is the graph of 32 221 xy
A)
x and y scale: 1 unit each
B)
x and y scale: 1 unit each
C)
x and y scale: 1 unit each
D)
x and y scale: 1 unit each
13. If the radius of a circle is 8 inches, what is the length of the arc subtended by a central angle of 0.7 radians?
14. Given that is the measure of an angle in standard position where 1cot and23cos , in which quadrant does
the terminal side of the angle lie?
15. Graph the function 4
2sin3 xy
16. Graph the function 3
243 2cos xy
17. Angle C is the right angle of right triangle ABC. Given that73sin B , find Bcos .
A) 3
102 B)
4
107 C) 1014 D)
7
102
18. Use the Law of Sines to solve for side a given 45Am , 60Cm , and 3c
A) 6 B) 2
63 C)
3
32 D)
6
2
Exam Review PRE CALCULUS Fall Semester 2009
19. Use the Law of Cosines to solve for side b, given 60Bm , 5a , and 12c
A) 360169 B) 2
349 C)
2
49 D) 109
20. Which of the following is equal to cos10 ?
A) sin10 B) cos350 C) cos(180 10 ) D) sin 80
21. Which function makes the graph pictured at the right?
A) 3
cos2 xy B) 3
sin2 xy
C) 3
sin2 xy D) 3
cos2 xy
22. Identify the amplitude, period, and phase shift for function 104sin3)( xxf
23. Evaluate 4
34
53
4 seccoscsc
24. A ladder is leaning against a building and the angle between the ladder and the ground is 73 . If the base of the ladder is 6 ft. from the building, how high up the building does the ladder touch?
25. Determine the domain of x
xxf
3
5)(
26. What is the equation of the following graph?
Exam Review PRE CALCULUS Fall Semester 2009
27. Solve triangle ABC. Then find its area. ( C = 105 )
28.
The graph above is the graph of f(x). Answer the following:
a) State the domain and range of f(x) in interval notation b) On what interval(s) is the graph of f(x) increasing? decreasing? (Use interval notation!)
c) What is the 12( )f f ?
d) Make a sketch of 1( )f x
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