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WVU College Algebra Exam Prep #3 Flashcards | StudBud
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WVU College Algebra Exam Prep #3
WVU College Algebra Exam Prep #3
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Answers
1
Solve x^2+4x+10=0
2\pm6\sqrt{i}
2\pm i\sqrt{6}
-2\pm6\sqrt{i}
-2\pm i\sqrt{6}
2
Simplify i^{42}
-1
1
-i
i
3
If the multiplicity is even, the graph:
Touches
Crosses
4
Simplify i^{15}
1
-1
-i
i
5
If the multiplicity is odd, the graph:
Touches
Crosses
6
Find g(f(3))
3
5
1
2
7
What is the axis of symmetry: f\left(x\right)=3x^2-6x+1
x = 0
x = 1
y = 1
x = -1
8
What is the domain?
(-∞,∞)
(-∞ , -9]
(-9 , ∞)
[-9 , ∞)
9
Simplify: (2 + i) - (4 - i)
-2 + 2i
-2
2
6 + 2i
10
Simplify: (2 - i)(3 + i)
6 + i
6 - i
7 + i
7 - i
11
What is the degree of f\left(x\right)=x\left(x-2\right)^2
3
0
1
2
12
What is the vertex: f\left(x\right)=2\left(x+2\right)^2-5
(-2 , -5)
None of these
(-2 , 5)
(2 , -5)
13
Solve: x^2=-64
\pm4i
\pm32i
\pm8i
\pm16i
14
What is the axis of symmetry?
x = -5
x = -2
x = 1
y = -2
15
What is the range?
[-9 , ∞)
(-∞ , -9]
(-∞,∞)
(-9 , ∞)
16
Given f\left(x\right)=-2x^3 as x --> ∞, y -->
- ∞
∞
17
What is the vertex of the quadratic?
(1 , 0)
(0 , -5)
(-2 , -9)
(-5 , 0)
18
Does the quadratic open upward or downward?
Upward
Downward
19
Find the zeros: f\left(x\right)=x^2\left(2x+1\right)\left(x-4\right)^3
(0 , -64)
(0 , 0) , ( 1/2 , 0) , ( -4 , 0)
(0 , 0) , ( - 1/2 , 0) , (4 , 0)
(0 , 0) , ( - 1 , 0) , (4 , 0)
20
A rain gutter is to be made of aluminum sheets 20 in. What depth and width will allow maximum cross-sectional area?
5 in. deep and 10 in. wide
4 in. deep and 12 in. wide
10 in. deep and 5 in. wide
12 in. deep and 4 in. wide
21
What are the x-intercepts of: f\left(x\right)=x^2-x-20
(-4 , 0) , (5 , 0)
(0 , -20)
(-5 , 0) , (4 , 0)
Cannot be determined.
22
Is (x + 2) a factor of 4x^3+x-1
Yes
No
23
Given y=x-1. Find the distance between P = (x , y) and the origin as a function of x.
d\left(x\right)=\sqrt{2x^2-2x+1}
d\left(x\right)=\sqrt{x^2+x}
d\left(x\right)=\sqrt{2x}
d\left(x\right)=2x
24
What is the vertex: f\left(x\right)=3x^2-6x+1
(-1 , 10)
(1 , -2)
(0 , 1)
Cannot be determined
25
Which of the following shifts right 3 units?
f(x) = (x + 3)2
f(x) = x2 + 3
f(x) = (x - 3)2
f(x) = x2 - 3
26
What is the multiplicity of (0 , 0): f\left(x\right)=x^2\left(2x+1\right)\left(x-4\right)^3
1
0
2
3
27
Simplify \frac{5}{3-i}
\frac{3+i}{2}
\frac{15+i}{2}
\frac{3-i}{2}
\frac{15-i}{2}
28
If f(x) = 2x - 1 and g(x) = x
2
, find f(g(2)).
-9
5
9
7
29
What is the axis of symmetry: f\left(x\right)=2\left(x+2\right)^2-5
x = -2
x = 2
x = 5
x = -5