WorksheetsFunctions: VA Algebra 2 SOL Review
Total questions: 57
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
Create the formula for the sequence:
2, 8, 14, ...
2, 8, 14, ...
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
2.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
3.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
4.
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
a)
18, 22, 26
b)
19, 21, 23
c)
19, 23, 27
d)
18, 21, 24
5.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
6.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
7.
What is the common difference of this sequence?
a)
4
b)
3
c)
7
d)
1
8.
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
3
c)
2
d)
6
9.
What is the explicit formula the following arithmetic sequence?
a)
3(2)n-1
b)
2(3)n-1
c)
3 + 3n
d)
3n
10.
Name the parent function.
a)
square root
b)
quadratic
c)
cubic
d)
exponential
11.
DOMAIN?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
12.
RANGE?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
13.
What is this function?
a)
y=√x
b)
y=x2
c)
y=x3
d)
y=|x|
14.
Which of the following is true about f(x) = -√(x) - 2 in comparison to its parent function?
a)
Reflect over x-axis
Down 2
Down 2
b)
Reflect over y-axis
Up 2
Up 2
c)
Reflect over x-axis
Up 2
Up 2
d)
Reflect over y-axis
Down 2
Down 2
15.
What is the equation of this graph?
a)
f(x) = (x + 2)2 - 3
b)
f(x) = (x - 2)2 - 3
c)
f(x) = |x + 2| - 3
d)
f(x) = |x - 2| - 3
16.
What is the equation of this graph?
a)
f(x) = -(x + 1)2 + 3
b)
f(x) = -(x - 1)2 + 3
c)
f(x) = -(x + 1)2 - 3
d)
f(x) = -(x + 1)2 - 3
17.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
18.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
19.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
20.
Which of the following is true about the function in comparison to f(x)?
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift up 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift down 2
21.
Which of the following is true about the function in comparison to f(x)?
a)
horizontal shift to the left 2 and vertical stretch by a factor of 3
b)
horizontal shift to the right 2 and vertical stretch by a factor of 3
c)
horizontal shift to the right 2 and vertical compression by a factor of 3
d)
horizontal shift to the left 2 and vertical compression by a factor of 3
22.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
23.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
24.
What is the end behavior of this graph?
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→⁻∞
25.
What is the end behavior of this graph?
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→0 and x→∞, y→⁻∞
26.
What type of function is shown?
a)
Exponential
b)
square root
c)
quadratic
d)
cube root
27.
Name the parent function.
a)
constant
b)
quadratic
c)
linear
d)
exponential
28.
What is the name of this function?
a)
Parabola
b)
Rational Function
c)
Ellipse
d)
Cubic
29.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
30.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
31.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
32.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
33.
Which statement is true about this function?
a)
The function is never constant
b)
The function is always increasing
c)
The function is never decreasing
d)
The function increases on the interval 11:00 < x < 15:00
34.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
35.
Which statement is true about this graph?
a)
This function is always constant
b)
This function is always increasing
c)
This function is never increasing
d)
This function is both increasing and decreasing
36.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
37.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
-40 < t < 0
38.
What is the Horizontal Asymptote?
a)
None
b)
y= 0
c)
y= 1
d)
y= 5/4
39.
What is the horizontal asymptote?
a)
y = 2
b)
y = -2
c)
x = 2
d)
y = 0
40.
Find the vertical asymptote(s) (if any) of the graph of the function.
3x / (x2 - 9)
3x / (x2 - 9)
a)
x=3
b)
x=0
c)
None
d)
X=3, x=-3
41.
Find the horizontal asymptote.
a)
y = -2
b)
none
c)
y = 0
d)
y = 1/2
42.
What is the definition of an ASYMPTOTE?
a)
A curved line.
b)
A line that only touches the origin.
c)
A line that only lives on the first quadrant.
d)
A line that a curve approaches, as it heads towards infinity.
43.
What is the vertical asymptote?
a)
x = 2
b)
y = 2
c)
x = 1
d)
y = 1
44.
Which of the following best describes the continuity at x = 5?
a)
Continuous
b)
Removable Point Discontinuity
c)
Non-removable Infinite Discontinuity
d)
Non-removable Jump Discontinuity
45.
Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.
a)
Vertical Asymptote
b)
Discontinuity
c)
Bob, bob, bob
d)
Infinite
46.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
47.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
48.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
49.
If f(x) = x2 + 9 and
g(x) = x - 9,
find f(x) - g(x).
g(x) = x - 9,
find f(x) - g(x).
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
50.
If f(x) = 9 - 3x and
g(x) = 5x - 7,
find f(x) + g(x).
g(x) = 5x - 7,
find f(x) + g(x).
a)
14x-10
b)
-8x+2
c)
2x+2
d)
2x-2
51.
Given f(x) = x2 + 5 and g(x) = 2x3 - 1, find (f/g)(-3).
a)
-14/55
b)
14/55
c)
2
d)
-2
52.
If f(x) = x2+9 and
g(x) = x-9,
find f(x)/g(x).
g(x) = x-9,
find f(x)/g(x).
a)
x
b)
x2 - x
c)
(x - 9)/(x2 + 9)
d)
(x2 + 9)/(x - 9)
53.
g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)
h(x)=3x-1
Find (g∘h)(x)
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
54.
p(x) = 3x + 4
q(x) = 2x2
Find (p∘q)(x)
q(x) = 2x2
Find (p∘q)(x)
a)
10x2
b)
18x2 + 4
c)
6x2 + 4
55.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
56.
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
a)
3, √5
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
57.
How many zeros does the polynomial function
P(x) = 3x4+4x-8 have?
P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
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