WorksheetsRegents Review Quiz 3
Total questions: 100
Worksheet time: 4hrs 48mins
Name
Class
Date
1.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
2.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
3.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
4.
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.
5.
a)
Function
b)
Not a Function
6.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
7.
Identify the range of the following relation:
a)
{-6, 14, 2, 28}
b)
{-6,14, 0, 32, 2, 38, 4,44}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
8.
Is this relation a function?
a)
Function
b)
Not a Function
9.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
10.
a)
A
b)
B
c)
C
d)
D
11.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
12.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
13.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
14.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
15.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
16.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
17.
Is this exponential growth or decay?
a)
Growth
b)
Decay
18.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
19.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
20.
What is the equation that represents the exponential function in the image below?
a)
y=3(½)x
b)
y=3(2)x
c)
y=(2)x
d)
y=2(3)x
21.
Is this exponential growth or decay?
a)
Growth
b)
Decay
22.
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
23.
Which of the equations below represent this table?
a)
y=3⋅(36)x
b)
y=36⋅(3)x
c)
y=3⋅(⅓)x
d)
y=36⋅(⅓)x
24.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
25.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
26.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
27.
What is the common ratio?
a)
5
b)
1/3
c)
x
28.
What is the y-intercept?
a)
5
b)
1/3
c)
x
29.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
30.
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(x)= 2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
31.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
32.
For the function, y = 2x4 + 3, which variable represents the input?
a)
y
b)
x
c)
q
d)
s
33.
What is the equation in slope-intercept form for the graph shown?
a)
y = –3x + 2
b)
y = 3x + 2
c)
y = 3x – 2
d)
y = – 3x – 2
34.
Louise is collecting can tabs for charity. She already has 35 collected and intends to collect 4 each week. The equation for the number of can tabs y she has collected is y = 4x+35, where x is the number of weeks. What do the slope and y-intercept represent?
a)
slope: can tabs collected each week; y-intercept: the amount already collected
b)
slope: the amount already collected; y-intercept: can tabs collected each week
c)
slope: can tabs collected each week; y-intercept: the total number of tabs she collects
d)
slope: the amount already collected; y-intercept: the total number of tabs she collects
35.
The graph below shows the amount of food Dan’s quails eat each week. Write an equation to find the number of pounds y eaten after any number of weeks x.
a)
y = 50x
b)
x = 50y
c)
y =75x
d)
x = 75y
36.
Graph the function: y= ½x +2
a)
a
b)
b
c)
c
d)
d
37.
What are the slope and y-intercept for the graph of y = – 6x – 5?
a)
slope: 6; y-intercept: 5
b)
slope: -6; y-intercept: 5
c)
slope:-5 ; y-intercept: -6
d)
slope: -6; y-intercept: -5
38.
Which equation is a linear function?
a)
A
b)
B
c)
C
d)
D
39.
Which table contains pairs of values for a nonlinear function?
a)
A
b)
B
c)
C
d)
D
40.
Which of the following equations does not represent a linear relationship between x and y?
a)
y = 4x
b)
y = 2x2 + 5x
c)
5x = 3(y-2)
d)
6x - 7y = 13
41.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
42.
Which of the following is NOT a function?
a)
y = 4
b)
x = 3
c)
y=2x
d)
y=x
43.
complete the function notation below
f(____) = 214
f(____) = 214
a)
1990
b)
1991
c)
1989
d)
1994
44.
Is the exponential function growth or decay? f(x) = 3(2)x + 6.
a)
growth because the base is bigger than 1
b)
decay because the base is bigger than 1
c)
growth because the base is less than 1
d)
decay because the base is less than 1
45.
What is the domain of the pictured graph?
a)
x<0
b)
x>0
c)
x<3
d)
x>3
46.
What is the domain of the pictured graph?
a)
y cannot equal 2
b)
x cannot equal 2
c)
y cannot equal 0
d)
x cannot equal 0
47.
Which line has the greatest average rate of change on the graph? Why?
a)
Blue, it's average rate of change is $120 per month
b)
Red, it's average rate of change is $40 per month
c)
Blue, it's average rate of change is $160 per month
d)
Red, it's average rate of change is $80 per month
48.
Describe the transformation that occurred
f(x) - 7
f(x) - 7
a)
Vertical
b)
Horizontal
c)
Both
d)
Neither
49.
Which of the following equations is a parabola?
a)
y = 2x + 4
b)
y = 2x3 + 4
c)
y = 2x2 + 4
d)
y = 2x
50.
Which is the most basic equation, or parent function, of a parabola?
a)
y = x2
b)
y = 2x2 + 3
c)
y = -x2 -4
d)
y = -x2
51.
Which of the following will be a parabola that opens down?
a)
y = x2 -1
b)
y = -x2
c)
y = -x -1
d)
y = 3x2
52.
What is the turning point of this graph?
a)
x=2
b)
y=-3
c)
(2, 1)
d)
y=1
53.
In vertex form, y= a(x-h)2+k, what effect does the k have on the graph?
a)
Translates vertically
b)
Translates horizontally
c)
Dilates (stretches)
54.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
55.
Name the parent function.
a)
linear
b)
constant
c)
absolute value
d)
quadratic
56.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
57.
Name the parent function.
a)
linear
b)
quadratic
c)
absolute value
d)
cubic
58.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
59.
Name the parent function.
a)
square root
b)
quadratic
c)
cubic
d)
exponential
60.
Name the parent function.
a)
linear
b)
exponential
c)
logarithmic
d)
cubic
61.
Name the parent function.
a)
constant
b)
square root
c)
linear
d)
absolute value
62.
Name the parent function.
a)
constant
b)
quadratic
c)
linear
d)
exponential
63.
Name the parent function.
a)
cubic
b)
cube root
c)
exponential
d)
quadratic
64.
Name the parent function.
a)
cube root
b)
square root
c)
quadratic
d)
linear
65.
Name the parent function.
a)
quadratic
b)
cubic
c)
square root
d)
logarithmic
66.
Which parent function matches the graph?
a)
f(x) = √(x)
b)
f(x) = ∛(x)
c)
f(x) = |x|
d)
f(x) = a⋅bx
67.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
68.
Name the parent function.
a)
linear
b)
square root
c)
cubic
d)
exponential
69.
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
70.
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
71.
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
72.
Tell how the function transformed from y =x2
y = -2x2
y = -2x2
a)
Translated left 2 units
b)
Reflected over x-axis
c)
Stretched vertically and reflected over x-axis
d)
Compressed vertically and reflected over the x-axis
73.
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift down 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift up 2
74.
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
75.
The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. g(x)=3x2
b)
B. g(x)=1/3x2
c)
C. g(x) = x2 - 3
d)
D. g(x) = (x-3)2
76.
The graph shows the function f(x)=x3 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. g(x) = -x3
b)
B. g(x) = x3 - 1
c)
C. g(x) = (x + 1)3
d)
D. g(x) = (x - 1)3
77.
The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. g(x) = 2x2
b)
B. g(x) = 1/2x2
c)
C. g(x) = x2 + 2
d)
D. g(x) = (x + 2)2
78.
The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. y = 1/2(x - 3)2
b)
B. y = 1/2(x + 3)2
c)
C. y = 2(x - 3)2
d)
D. y = 2(x + 3)2
79.
Which is an equation of the line that passes through the point (2, -3) and has a slope of -4?
a)
y + 2 = -4(x - 3)
b)
y + 3 = -4x - 2
c)
y - 3 = -4(x - 2)
d)
y + 3 = -4(x - 2)
80.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
81.
The company Roscoe works for is seeing a 5% growth in profits every year. If the company makes $360,000 this year, what will the annual profits be in 10 years?
a)
578000
b)
582234
c)
537582
d)
586402
82.
A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?
a)
y = 6.50x - 0.75
b)
y = 6.50x + 0.75
c)
y = 6.50x - 1.50 - 0.75
d)
y = 5x - 0.75
83.
Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?
a)
y = 5 + 12x
b)
y = 12x
c)
y = 7x + 5
d)
y = 12x + 12
84.
Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. Which equation below can be used to find c, the total cost for one month when m, minutes are used?
a)
c = 0.12m + 8m
b)
c = 8m + 0.12m
c)
c = 0.12m + 8
d)
c = 0.20m
85.
Find the domain of h(x):
a)
(-∞, +∞)
b)
(-∞, -2) U (-2, ∞)
c)
(2, ∞)
d)
[-2, ∞)
86.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
87.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
88.
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
89.
Pick the correct graph
a)
A
b)
B
c)
C
d)
D
90.
If a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes?
a)
$420
b)
$480
c)
$400
d)
$360
91.
1. What is this type of function called?
a)
Discrete Function
b)
Segment Function
c)
Step Function
d)
Jump Function
92.
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
93.
f(x) = 2x2 + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].
What is the average rate of change of f(x) on the interval [-3, -2].
a)
2
b)
1/2
c)
-2
d)
-1/2
94.
f(x) = -x2 + 6x - 8
What is the average rate of change of f(x) from f(2) to f(3)
What is the average rate of change of f(x) from f(2) to f(3)
a)
1
b)
1/2
c)
-1
d)
-1/2
95.
Find the average rate of change over the given interval.
a)
3
b)
1.5
c)
1
d)
0.67
96.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
97.
What is the average rate of change of y = 2(3)x at [2, 4]?
a)
72
b)
3
c)
36.8
d)
630
98.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
99.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
100.
For what value of x does f(x) = -2?
a)
0
b)
-5
c)
3
d)
-3
100 %
