WorksheetsUnit 2: Test 2 Review
Total questions: 86
Worksheet time: 4hrs 52mins
Name
Class
Date
1.
Describe the transformation that occurred.
h(x) = f(x) + 2
a)
up 2 units
b)
left 2 units
c)
Vertical Strech
d)
right 2 units
2.
Describe the transformation that occurred
p(x) = f(x + 3)
a)
Right 3 units
b)
Vertical Stretch
c)
Up 3 units
d)
Left 3 units
3.
Describe the transformation that occurred.
w(x) = f(x - 7)
a)
Down 7
b)
Up 7
c)
Right 7
d)
vertical compression
4.
Describe the transformation that occurred
m(x) = f(x + 1)
a)
Left 1 Unit
b)
Right 1 unit
c)
vertical stretch
d)
up 1 unit
5.
Describe the transformation that occurred
k(x) = f(x) - 9
a)
vertical compression
b)
Down 9 units
c)
Left 9 units
d)
Right 9 Units
6.
Describe the transformation that occurred
d(x) = f(x) - 1
d(x) = f(x) - 1
a)
Left 1 Unit
b)
Right 1 Unit
c)
Up 1 Unit
d)
Down 1 Unit
7.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a translation shifting f(x) 4 units up
b)
a translation shifting f(x) 4 units down
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
8.
Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?
a)
Translation left 2 units
b)
Narrower
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
9.
Describe the transformation of y = f(x) for the new function
y = f(x) + 5
y = f(x) + 5
a)
The graph of y = f(x) was shifted to the right 5 units.
b)
The graph of y = f(x) was shifted to the left 5 units.
c)
The graph of y = f(x) was shifted up 5 units.
d)
The graph of y = f(x) was shifted down 5 units.
10.
Describe the transformation of y = f(x) for the new function
y = f(x) - 5
y = f(x) - 5
a)
The graph of y = f(x) was shifted to the right 5 units.
b)
The graph of y = f(x) was shifted to the left 5 units.
c)
The graph of y = f(x) was shifted up 5 units.
d)
The graph of y = f(x) was shifted down 5 units.
11.
Describe the transformation of y = f(x) for the new function
y = - f(x)
y = - f(x)
a)
The graph of y = f(x) was flipped vertically across the x axis.
b)
The graph of y = f(x) was flipped horizontally across the y axis.
c)
The graph of y = f(x) was shifted down.
d)
The graph of y = f(x) was shifted up
12.
Describe the transformation of y = f(x) for the new function
y = f(- x)
y = f(- x)
a)
The graph of y = f(x) was flipped vertically across the x axis.
b)
The graph of y = f(x) was flipped horizontally across the y axis.
c)
The graph of y = f(x) was shifted down.
d)
The graph of y = f(x) was shifted up
13.
Describe the transformation from dotted to solid.
a)
f(x + 4)
b)
f(x - 4)
c)
f(x) + 4
d)
f(x) - 4
14.
Describe the transformation from dotted to solid.
a)
f(x + 5) + 3
b)
f(x +3) + 5
c)
f(x - 5) + 3
d)
f(x - 3) + 5
15.
Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I
y = I x - 4 I
a)
Left 4
b)
Right 4
c)
Up 4
d)
Down 4
16.
How is this function transformed from the parent function?
a)
Translated left
b)
Translated right
c)
Translated down
d)
Translated up
17.
How is this function transformed from the parent function?
a)
Translated left
b)
Translated right
c)
Translated down
d)
Translated up
18.
How is this function transformed from the parent function?
a)
Translated left
b)
Translated right
c)
Translated down
d)
Translated up
19.
What is the linear parent function?
a)
y = x
b)
y = mx + b
c)
f(x) = 2x
d)
Not here
20.
Name the parent function.
a)
linear
b)
constant
c)
absolute value
d)
quadratic
21.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
22.
Name the parent function.
a)
linear
b)
quadratic
c)
absolute value
d)
cubic
23.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
24.
Name the parent function.
a)
constant
b)
square root
c)
linear
d)
absolute value
25.
Name the parent function.
a)
constant
b)
quadratic
c)
linear
d)
exponential
26.
Name the parent function.
a)
cubic
b)
cube root
c)
exponential
d)
quadratic
27.
Name the parent function.
a)
cube root
b)
square root
c)
quadratic
d)
linear
28.
Name the parent function.
a)
quadratic
b)
cubic
c)
square root
d)
logarithmic
29.
Which parent function matches the graph?
a)
f(x) = √(x)
b)
f(x) = ∛(x)
c)
f(x) = |x|
d)
f(x) = a⋅bx
30.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
31.
Name the parent function.
a)
linear
b)
square root
c)
cubic
d)
exponential
32.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
33.
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
34.
Tell how the graph transformed.
y = (x - 3)2
y = (x - 3)2
a)
Translated right 3
b)
Translated left 3
c)
Translated up 3
d)
Translated down 9
35.
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
36.
DOMAIN?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
-2, 2
37.
What is the RANGE?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
38.
The blue function is the parent function f(x) = x3. Which of the following is the correct equation for the red function, g(x)?
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
39.
Does this table represent a function?
a)
Yes!
b)
No!
c)
I Don't Know
40.
Is this graph a function? (Vertical Line test)
a)
Yes
b)
No
c)
I Don't Know
41.
Is this relation a Function?
a)
Yes
b)
No
c)
I Don't Know
42.
What are the ordered pairs for this relation?
a)
(60,64),(61,65),(62,66),(63,67)
b)
(64,60),(65,61),(66,62),(67,63)
c)
(60,66),(61,65),(62,64),(63,67)
d)
(66,60),(65,61),(64,62),(67,63)
43.
Which choice describes the ranges of this graph.
a)
All range values are positive
b)
All range values are negative
c)
Range values are both postive and negative
44.
A table is shown.
The following sets can be used to fill the blank spaces in the domain column.
Which set will make this table a Function.
The following sets can be used to fill the blank spaces in the domain column.
Which set will make this table a Function.
a)
Strawberry, Banana, Peach
b)
Mango, Banana, Blueberry
c)
Peach, Banana, Vanilla
d)
Chocolate, Banana, Strawberry
45.
Is the relation a function? Why?
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
46.
Which set of ordered pairs is not a function?
a)
(1, 3), (2, 7), (3, 8), (4, 11)
b)
(2, 3), (4, 9), (3, 8), (4, 15)
c)
(1, 2), (3, 5), (6, 9), (7, 11)
d)
(-9, 4), (-6, 3), (-2, 8), (0, 21)
47.
Which mapping diagram is not a function?
a)
b)
c)
d)
48.
Which graph is not a function?
a)
b)
c)
d)
49.
What is the test to determine if a graph represents a function?
a)
Horizontal line test
b)
Vertical line test
c)
Heidelberg Uncertainty Test
d)
Obi Wan Kenobi Test
50.
What is the domain of this function?
a)
(-∞,2]
b)
(-∞,+∞)
c)
[2,-∞)
d)
(-4,2)
51.
What is the range of this function?
a)
(-∞,+∞)
b)
(-4,2]
c)
(-∞,2]
d)
[2,-∞)
52.
Is this a function? Why or why not?
a)
No, the domain numbers are repeated.
b)
No, it passes the Vertical Line Test.
c)
Yes, it passes the Vertical Line Test.
d)
Yes, the range numbers are not repeated.
53.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
54.
What is g(7) if:
a)
-17
b)
-13
c)
13
d)
17
55.
Find f(0)
a)
-3
b)
18
c)
4
d)
0
56.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x if x < 4; -x+1 if x ≥ 4
b)
f(x) = { x if x ≤ 4; -x+1 if x > 4
c)
f(x) = { -x+1 if x < 4; x if x ≥ 4
d)
f(x) = { -x+1 if x ≤ 4; x if x > 4
57.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
58.
The piecewise-defined function f(x) is shown.
f(x)=x+2, x≤0
f(x)=4x, x>0
What is f(−3)?
f(x)=x+2, x≤0
f(x)=4x, x>0
What is f(−3)?
a)
12
b)
5
c)
-1
d)
-12
59.
This piecewise function is a combination of at least how many functions?
a)
0
b)
1
c)
2
d)
3
60.
What is the inverse of the points
(1,3)(2,4)(6,8)
(1,3)(2,4)(6,8)
a)
(3,1)(4,2)(8,6)
b)
(-3,-1)(-4,-2)(-8,-6)
c)
(1,3)(2,4)(6,8)
d)
(-1,-3)(-2,-4)(-6,-8)
61.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
62.
Are the following inverses of each other?
a)
True
b)
False
63.
Was the inverse function found correctly?
a)
no
b)
yes
64.
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
65.
What's the name of the inverse of g(x)?
a)
f(x)
b)
f-1(x)
c)
y
d)
g-1(x)
66.
The inverse of the function f(x) is written as ...
a)
f -1(x)
b)
f 2(x)
c)
f '(x)
d)
f +(x)
67.
Find the inverse of the function
f(x) = 3x − 5
f(x) = 3x − 5
a)
f-1(x)=3x +5
b)
f-1(x)=(x+5)/3
c)
f-1(x)=3y-5
d)
f-1(x)=3y+5
68.
What does an inverse function do?
a)
Nothing
b)
Makes it bigger
c)
Does the opposite of the original function
69.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
70.
Determine the values of a, b, and c for the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
71.
Use the quadratic formula to solve 2x2 + 2x - 12.
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
72.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
a)
No Real Solution
b)
c)
d)
73.
Solve 2x2 + 7x - 15 = 0
a)
-3/2 or 5
b)
No Solution
c)
-5 or 3/2
d)
0.7 or 5
74.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
75.
a)
10
b)
-10
c)
10i
d)
-10i
76.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
77.
Multiply
(2i)(3i)
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
78.
Multiply:
(4 – 3i)(7 + 2i)
(4 – 3i)(7 + 2i)
a)
A. 22 - 13i
b)
B. 28 - 19i
c)
C. 34 - 13i
d)
D. -34 - 29i
79.
Simplify
a)
b)
c)
d)
80.
Simplify:
a)
-3/4 − 1/4i
b)
3/4 + 1/4i
c)
-3/4 + 1/4i
d)
3/4 − 1/4i
81.
True or False?
The complex conjugate of a+bi is defined as a-bi. For example, the complex conjugate of 2+3i is 2-3i.
a)
False
b)
True
82.
f(x) = 9-3x
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
83.
f(x) = x2+9
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
84.
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
g(x) = x+3,
Find f(x) * g(x)
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24
85.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
86.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).
a)
182
b)
40
c)
61
d)
None of the Above
100 %
