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WorksheetsPreCalculus Final Exam Review
Total questions: 60
Worksheet time: 3hrs 58mins
Name
Class
Date
1.
a)
The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
b)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
c)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
d)
The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞
2.
a)
The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
b)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
c)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
d)
The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞
3.
f(x)=x2-5
find f(x-1)
find f(x-1)
a)
x2-2x-4
b)
-4+2x+x2
c)
x2+8x+11
d)
4+6x+x2
4.
Evaluate f(x)=-2t2+ 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
5.
a)
0
b)
2
c)
3
d)
4
6.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
7.
a)
-1
b)
0
c)
1
d)
DNE
8.
a)
0/0
b)
DNE
c)
-1/4
d)
1/4
9.
a)
0
b)
∞
c)
- ∞
d)
DNE
10.
a)
0
b)
0/0
c)
1/4
d)
DNE
11.
Solve: 2x = 4x+1
a)
x = -2
b)
x = 2
c)
x = -3
d)
x = 3
12.
Is the graph an even, odd, or neither function
f(x) = 4x3
f(x) = 4x3
a)
Even
b)
Odd
c)
Neither
13.
Is the graph an even, odd, or neither function
f(x) = x2 + 2
f(x) = x2 + 2
a)
Even
b)
Odd
c)
Neither
14.
Is the graph an even, odd, or neither function
f(x)=x3-x2
f(x)=x3-x2
a)
even
b)
odd
c)
neither
15.
What is the horizontal asymptote?
a)
y=1
b)
y=0
c)
(0,-1)
d)
y=-1
16.
What is the horizontal asymptote?
a)
y=3
b)
y=-2
c)
y=-3
d)
(0,-3)
17.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
18.
What are the transformations of this functions compared to the parent function?
a)
Shifted down 2
b)
Shifted up 2
c)
Shifted left 2
d)
Shifted right 2
19.
Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.
Hint: Use a scratch graph to help you visualize things.
a)
Domain: (-∞, ∞) Range: [-∞, 4]
b)
Domain: [1, ∞) Range: (-∞, 4]
c)
Domain: [-1. ∞) Range: [4, ∞)
d)
Domain: [4, ∞) Range: [-1,∞)
20.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) =√(x+5)
d)
f-1(x) = x2 - 5
21.
Factor
x2 -16x + 48
x2 -16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
22.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
23.
Find m<B
a)
A
b)
B
c)
C
d)
D
24.
Find BC
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
Find the area to the nearest tenth
a)
A
b)
B
c)
C
d)
D
28.
For which scenario would you need to use the ambiguous case?
a)
SSS
b)
AAS
c)
ASA
d)
SSA
29.
Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 73, a = 7 and b = 5.
a)
0
b)
1
c)
2
d)
3
30.
Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 33, a=27, and b = 22.
a)
0
b)
1
c)
2
d)
3
31.
Which of the following scenarios would you be unable to use Law of Sines?
a)
AAS
b)
ASA
c)
SSA
d)
SSS
32.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
33.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
34.
Find Area of DEF
a)
9.5
b)
119.5
c)
59.8
d)
5.4
35.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
36.
Find x.
a)
30°
b)
45°
c)
60°
d)
90°
37.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
38.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
39.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
40.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
41.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
42.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
43.
Evaluate: cos-1(1/2)
a)
π/6
b)
π/4
c)
π/3
d)
π/2
44.
Evaluate: tan-1(√3)
a)
π/6
b)
π/4
c)
π/3
d)
π/2
45.
Evaluate: arccos(-√3/2)
a)
-π/6
b)
-π/3
c)
2π/3
d)
5π/6
46.
Evaluate: sin-1(-√2/2)
a)
-π/4
b)
3π/4
c)
5π/4
d)
7π/4
47.
Solve sinθ = ½ on θ∈[0, 2π)
a)
θ = π / 6, 7π / 6
b)
θ = π / 6, 5π / 6
c)
θ = 5π / 6, 7π / 6
d)
θ = 7π / 6, 11π / 6
48.
Solve on the Interval [0,2π)
tan(x)+1=2
tan(x)+1=2
a)
0 and π
b)
3π/4 and 7π/4
c)
π/4 and 5π/4
d)
3π/4 and 5π/4
49.
a)
No solution
b)
π/3 +2πn, 5π/3 +2πn
c)
π/6 +2πn, 11π/6 +2πn
d)
2π/3 +2πn, 4π/3 +2πn
50.
2 sinθ+3=2
a)
π/6,2π/3
b)
7π/6
c)
7π/6, 11π/6
51.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
52.
Please select the correct solution
cos 2 x + sin 2 x=
cos 2 x + sin 2 x=
a)
1
b)
csc 2 x + sec 2 x
c)
sin 2 x
d)
1 - sin 2 x
53.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
54.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
55.
Which of these is equivalent to 2cos2x − 3cosx = 0 ?
a)
-cos2x = 0
b)
cosx(2cosx + 3) = 0
c)
cosx(2cosx − 3) = 0
d)
cos x = ⅔
56.
Expand each Log
a)
A
b)
B
c)
C
d)
D
57.
Expand each Log
a)
A
b)
B
c)
C
d)
D
58.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
59.
What is f when x equals 8?
a)
0
b)
5
c)
11
d)
16
60.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
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