Junior High Algebra 1 Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which of the following is the inverse of the function
a.
b.
____
c.
d.
2. Which of the following is the inverse of the function
a.
c.
b.
____
?
d.
3. Which of the following shows the graphs of an equation and its inverse?
y
a.
c.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–4
–3
–2
–4
–3
–2
–3
–3
–4
–4
–5
–5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
1
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
y
–1
–1
–2
y
–5
–5
–2
b.
____
?
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
4. Which of the following shows the graphs of an equation and its inverse?
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
____
1
2
3
4
5
x
–3
–2
–4
–5
–5
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–1
–1
–3
–4
–4
–5
–5
1
2
3
4
5
x
–2
–3
–4
–5
____
–2
–2
1
a.
b.
–3
–3
2
–1
–1
–4
–2
3
c.
d.
6. Which of the following equations is graphed below?
1
2
3
4
5
x
1
2
3
4
5
x
y
d.
4
–2
–1
–1
–4
5
–3
–2
–3
y
–4
–3
–2
5. Which of the following equations is graphed below?
–5
–4
–3
y
–4
–5
–2
b.
–5
y
c.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
b.
c.
d.
____
7. Which of the following is true about the graph
?
a. It is symmetric about the origin.
c. It is symmetric about the y-axis.
b. It is symmetric about the x-axis.
d. It is symmetric about
.
____
8. Which of the following is true about the graph of
?
a. It has rotational symmetry.
c. It is symmetric about the x-axis.
b. It is symmetric about the y-axis.
d. It is symmetric about the origin.
9. Which of the following is a polynomial equation that crosses the x-axis at (-2, 0) and (5, 0), and
____
touches the x-axis at (10, 0).
a.
c.
b.
d.
____ 10. Which of the following is a polynomial equation that crosses the x-axis at (-3, 0) and (2, 0), and
touches the x-axis at (5, 0).
a.
c.
b.
d.
____ 11. Which of the following represents the graph of the equation
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
____ 12. Which of the following represents the graph of the equation
y
a.
c.
–5
–4
–3
–2
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
3
4
5
x
1
2
3
4
5
x
1
2
3
4
5
x
y
5
–1
–1
2
y
d.
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
y
b.
–5
–4
–3
–2
y
d.
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
1
2
____ 13. Which of the following polynomial equations is represented by the graph below?
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
c.
b.
d.
____ 14. Which of the following polynomial equations is represented by the graph below?
y
10
9
8
7
6
5
4
3
2
1
–10–9 –8 –7 –6 –5 –4 –3 –2–1
–1
–2
–3
–4
–5
–6
–7
–8
–9
–10
1 2 3 4 5 6 7 8 9 10
x
a.
c.
b.
d.
3
4
5
x
____ 15. If
a.
b.
____ 16. If
a.
b.
____ 17. If
a.
b.
and
____ 18. If
a.
b.
and
____ 19.
____ 20.
and
and
, what is the value of
c.
d.
, what is the value of
c.
d.
, which expression represent
c.
d.
?
?
, which expression represent
c.
d.
What is the equation of y = x2 once it has been reflected (flipped) over the x-axis and shifted down 1
units and right 7 units?
a.
c.
b.
d.
What is the equation of y = x4 once it has been shifted up 4 units and left 5 units?
a.
c.
b.
d.
____ 21. How can the graph of y =
be translated so that its equation becomes
a.
It can be shifted right 2 units and c. It can be reflected across the x-axis,
down 3 units.
b.
It can be shifted left 2 units and up d.
3 units.
shifted left 2 units and down 3 units.
It can be reflected across the
y-axis, shifted left 2 units and
down 3 units.
____ 22. How can the graph of y =
be translated so that its equation becomes
a.
It can be shifted right 2 units and c. It can be reflected across the x-axis,
down 3 units.
b.
It can be shifted left 2 units and up d.
3 units.
?
shifted left 2 units and down 3 units.
It can be reflected across the
y-axis, shifted left 2 units and
down 3 units.
?
____ 23. The graph of a third degree polynomial function has zeros at -3, 2, and 4. It is also negative for
large positive values of x. Which of the following could represent this function?
a.
b.
c.
d.
____ 24. The graph of a third degree polynomial function has zeros at 5, -1, and 2. It is also positive for
large positive values of x. Which of the following could represent this function?
a.
b.
c.
d.
____ 25. Which of the following is the graph of a polynomial of odd degree that has a negative leading
coefficient?
y
a.
–5
–4
–3
–2
50
25
40
20
30
15
20
10
10
5
–1
–10
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–5
–10
–30
–15
–40
–20
–50
–25
y
–4
–5
–20
b.
–5
y
c.
25
4
20
3
15
2
10
1
5
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
–5
–4
–3
–2
–1
–5
–2
–10
–3
–15
–4
–20
–5
–25
____ 26. Which of the following is the graph of a polynomial of even degree that has a positive leading
coefficient?
y
a.
–5
–4
–3
–2
50
25
40
20
30
15
20
10
10
5
–1
–10
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–5
–10
–30
–15
–40
–20
–50
–25
y
–4
–5
–20
b.
–5
y
c.
25
4
20
3
15
2
10
1
5
1
2
3
4
5
x
–5
–4
–3
–2
–1
–5
–2
–10
–3
–15
–4
–20
–5
–25
____ 27.
a.
b.
c.
d.
a. 4 5
b.
c.
d.
a.
b.
c. 2
d.
____ 28.
____ 29.
____ 30. Simplify
a.
b.
____ 31.
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
. Assume that all variables are positive.
c.
d. none of these
Identify the initial amount a and the growth factor b in the exponential function.
a.
a = 1.0875, b = 200
b. a = .0875, b = 200
c.
a = 200, b = 1.0875
d.
a = 200, b = .0875
____ 32.
Which of the following equations represents exponential growth?
a.
c.
b.
d.
____ 33.
How can you determine if an exponential equation represents exponential growth?
a.
The initial value is negative.
c.
The base is a negative
number.
b.
The base, b, is
d.
The base is a positive number
greater than 1.
____ 34.
How can you determine if an exponential equation represents exponential decay?
a.
The base is a positive number
greater than 1.
c. The initial value is negative.
b.
The base, b, is
d. The base is a negative number.
____ 35. The table shows the estimated number of deer living in a forest over a five-year period. Are the data best
represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated
Population
0
91
1
70
2
54
3
42
4
32
a. exponential;
b. linear;
c. quadratic;
d. quadratic;
____ 36.
What equation models the data in the table if d = number of days and c = cost?
Days
2
3
4
5
6
Cost
44
66
88
110
132
a. d = 22c
b. c = 22d
c. c = d + 22d
d. c = d + 22
____ 37.
Which kind of function best models the data? Write an equation to model the data.
x
0
1
2
3
4
y
–3
–2
–3
–6
–11
a.
c.
b.
d.
____ 38. What equation models the data in the table?
x
y
-1
1
0
-2
1
-5
2
-8
a.
b.
c.
d.
____ 39. Select the reason why
power is smaller than 4.
a. Any positive number with a negative exponent is always negative.
b. Any positive number with a negative exponent is always equal to zero.
c. Any positive number with a negative exponent always equals the opposite
reciprocal to the positive power.
d. Any positive number with a negative exponent always equals its reciprocal to the
positive power.
____ 40. Select the reason why
power is smaller than 3.
a. Any positive number with a negative exponent is always negative.
b. Any positive number with a negative exponent always equals its reciprocal to the
positive power.
c. Any positive number with a negative exponent always equals the opposite
reciprocal to the positive power.
d. Any positive number with a negative exponent is always equal to zero.
____ 41. Which of the following has the largest value?
a.
b.
c.
d.
____ 42. Which of the following has the smallest value?
a.
b.
c.
d.
th
____ 43. Your favorite math teacher bought an 1895 abacus that Albert Einstein received for his 16 birthday
for $1,000. Each year it appreciates in value by 5%. Which equation can be used to find the value,
v, of the abacus x years after it was purchased?
a. v =
b. v =
c. v =
(1.05)
(1.05)
d. v = (
(0.95)
· 1.05)
____ 44. You bought a car for $5,000. Each year it appreciates in value by 8.5%. Which equation can be
used to find the value, v, of the car, x years after it was purchased?
a.
b.
c.
d.
____ 45. Scott is a computer-notebook salesman. He estimated that the number of people using notebooks, y,
in a town after x years could be represented by the equation y = 50(1.75)x.
Which of the following is a graph of this equation?
a.
c.
b.
d.
____ 46. The population of a certain bacteria increases daily by 20%. If the population of bacteria was 3000 on April
11, which of the following graphs correctly depicts this situation?
Bacteria
Bacteria
a.
c.
18000
18000
16000
16000
14000
14000
12000
12000
10000
10000
8000
8000
6000
6000
4000
4000
2000
2000
1
2
3
4
5
6
7
8
9 Days
1
2
3
4
5
6
7
8
9 Days
Bacteria
b.
Bacteria
d.
9000
8000
3000
7000
6000
5000
2000
4000
3000
1000
2000
1000
1
2
3
4
5
6
7
8
9 Days
____ 47. For which values of x is the function f(x) =
a.
b.
or
____ 48. For which values of x is the function
a.
b.
1
2
3
4
5
6
7
8
9 Days
negative?
c.
d.
or
(x – 6)(x + 4) positive?
c.
d.
and
and
____ 49. Suppose a laboratory has a 52 g sample of polonium-210.The half-life of polonium-210 is about 138
days. Which of the following equations could be used to calculate the number of grams remaining
from the original sample t days after the scientist collected it?
a. A =
c. A =
b. A = 52(0.5)(138t)
d.
____ 50. The half-life of a certain radioactive material is 82 hours. An initial amount of the material has a mass of 157
kg. Which of the following equations could be used to calculate the number of grams remaining from the
original sample t hours after the scientist collected it?
a.
c.
b.
d.
____ 51. Polonium-210 is a radioactive substance that has a half-life of 138 days. If there is a 149 g sample
of polonium-210 left on April 19 and found on October 19, 183 days later, approximately how much
polonium-210 would remain?
a. 59.4 grams
c. 1.21 grams
b. 298 grams
d. 0 grams
____ 52. The half-life of a certain radioactive material is 24,000 years. An initial amount of the material having a mass
of 1,000 kg was left in 1980 and found in the future in the year 61,980. Approximately how many kg remain?
a. 166.95 kg
c. 744.44 kg
b. 176.78 kg
____ 53. Describe the end behavior of
a. As
b. As
c. As
d. As
____ 54. Describe the end behavior of
a. As
b. As
c. As
d. As
d. 800 kg
.
and as
and as
and as
and as
(up, up)
(down, down)
(up, down)
(down, up)
.
and as
and as
and as
and as
(down, up)
(up, up)
(up, down)
(down, down)
____ 55. Which of the following statements is true regarding the function:
a.
c.
As x increases, f(x) remains constant.
As x increases, f(x) increases.
b.
d.
As x increases, f(x) is zero.
As x increases, f(x) decreases.
____ 56. Which of the following statements is true regarding the function:
a.
c.
As x increases, f(x) remains constant.
As x increases, f(x) increases.
b.
d.
As x increases, f(x) is zero.
____ 57. Identify the asymptotes of the graph.
As x increases, f(x) decreases.
y
12
10
8
6
4
2
–12 –10 –8
–6
–4
–2 O
–2
2
4
6
8
10
12
x
–4
–6
–8
–10
–12
a. x = –2 ; y = –1
b. x = 2 ; y = 1
____ 58. The graph of the function f(x) =
function?
c. x = 1 ; y = –2
d. x = –1 ; y = 2
+ 1 is shown below. What are the equations of the asymptotes of the
y
12
10
8
6
4
2
–12 –10 –8
–6
–4
–2 O
–2
2
4
6
8
10
x
–4
–6
–8
–10
–12
a. x = 0 ; y = 0
____ 59. How can
b. x = 3 ; y = 1
c. x = 1 ; y = 3
be simplified?
a.
c.
b.
d.
____ 60. How can
d. x = 2 ; y = 2
be simplified?
a.
c.
b.
d.
____ 61. Which of the following correctly simplifies the expression shown below?
a.
b.
343
1000
c.
100
7
d.
1000
343
____ 62. Which of the following correctly simplifies the expression shown below?
a.
c.
b.
d.
____ 63. The volume of a cube varies directly with the cube of the lengths of its sides. If the lengths of the
sides double, what happens to the volume of the cube?
a. The volume will increase by a factor of c. The volume will increase by a factor of
2.
6.
b. The volume will increase by a factor of d. The volume will increase by a factor of
4.
8.
____ 64. The area of a circle varies directly with the square of its radius. If the length of the radius triples,
what happens to the area of the circle?
a. The volume will increase by a factor of c. The volume will increase by a factor of
3.
8.
b. The volume will increase by a factor of d. The volume will increase by a factor of
6.
9.
7
____ 65. Which is the solution of the equation (x – 3) = -128?
a. 3
b. 1
c. 0
d. 6
____ 66. Which is the solution to the equation (x - 8)4 = 81?
a. 9
b. 17
c. 11
d. 1
____ 67. For what values of a is there no solution to the equation (4x + 2)a = -8?
a. 3
b. 1
c. 0
d. -1
a
____ 68. What is the solution to the equation (3x – 5) = 1?
a. 2
b. 1
c. 0
d. -1
____ 69. In a parking garage, the first two hours costs $3. Each additional hour costs $0.50 per hour.
Which of the following accurately represents the total cost, c, of parking a car in the garage for h
hours?
a.
c.
b.
d.
____ 70. At a local gym, membership costs $50 for the first month and $20 for each additional month.
Which of the following accurately represents the total cost, c, of attending the gym for m months?
a.
c.
b.
d.
____ 71. Which graph correctly displays the data given in the table?
Countries with Ten or
Number of Nuclear
Power Generated
More Nuclear Reactors
Reactors
(Megawatts)
United States
109
98,784
France
57
59,033
Japan
48
38,029
United Kingdom
35
11,909
Russia
29
19,843
Canada
22
15,755
Germany
21
22,657
Ukraine
15
12,679
Sweden
12
10,002
From The World Almanac and Book of Facts, 1995, s.v. “Energy - World Nuclear Power.”
Power Gen'd (1000 MW)
c.
Power Gen'd (1000 MW)
a.
100
80
60
40
20
20
40
60
80
No. of Reactors
100
100
80
60
40
20
20
40
60
80
No. of Reactors
100
Power Gen'd (1000 MW)
d.
Power Gen'd (1000 MW)
b.
100
80
60
40
20
20
40
60
80
100
80
60
40
20
100
20
No. of Reactors
40
60
80
100
No. of Reactors
____ 72. What is the line of best fit for the data in question 71?
a.
c.
b.
d.
____ 73. Which graph correctly displays the data given in the table?
Countries with Ten or More
Number of
Electricity Supplied
Nuclear Reactors
Nuclear Reactors
(Terawatt-Hours*)
United States
109
610.3
France
57
350.2
Japan
48
246.3
United Kingdom
35
79.8
Russia
29
119.2
Canada
22
88.6
Germany
21
145.0
Ukraine
15
75.2
Sweden
12
58.9
* One terawatt-hour (TW-hr) equals one trillion watt-hours of electrical energy.
From The World Almanac and Book of Facts, 1995, s.v. “Energy - World Nuclear Power.”
a.
c.
600
Electricity Supplied
Electricity Supplied
600
400
200
40
80
No. of Reactors
120
400
200
40
80
No. of Reactors
120
b.
d.
600
Electricity Supplied
Electricity Supplied
600
400
200
40
80
120
400
200
40
No. of Reactors
80
120
No. of Reactors
____ 74. What is the line of best fit for the data in question 73?
a.
c.
b.
d.
____ 75. What is the equation for an absolute value function that has been translated 2 units up from the parent
function?
a. y = | x | – 2
c. y = | 2x |
b. y + 2 = | x |
d. y = | x | + 2
____ 76. What is the equation for an absolute value function that has been translated 4.5 units down from the parent
function?
a. y = | x | – 4.5
c. y = | 4.5x |
b. y = | x | + 4.5
d. y + 4.5 = | x |
____ 77.
The scatterplot above shows the football game attendance for Kennedy High School and the
temperature at the start of each game. Which of the following statements reflects the
relationship between the temperature and attendance?
a.
No one came to football game
when the temperature
dropped below 25 degrees.
c.
As the temperature increased,
attendance also increased.
b.
As the temperature increased,
d.
Temperature does not seem to
consistently affect
attendance decreased.
attendance.
____ 78. Which of the following best describe the data shown in the scatterplot below?
Number of Weeks
a. It cannot be determined if there is a
correlation.
b. There is a weak correlation.
c. There is a strong negative correlation.
d. There is a strong positive correlation.
____ 79. What is the term used to describe the points in the scatterplot indicated by the arrow?
a. maxima
c. cluster
b. outsider
d. outlier
____ 80. Are there any outliers in the following graph?
Number of Weeks
a. Yes
c. Possibly
b. No
d. No, but there is an outsider.
____ 81. Which function has an asymptote?
a. absolute value
c. linear
b. quadratic
d. exponential
____ 82. Which function does not have an asymptote?
a. exponential
c. inverse variation
b. quadratic
____ 83. Which graph shows the best trend line for the following data.
a.
c.
Violin Competition
60
54
54
48
48
42
42
36
36
Score
Score
Violin Competition
60
30
30
24
24
18
18
12
12
6
6
2
4
6
8
10
12
14
16
18
20
2
4
Practice (weeks)
b.
d.
54
54
48
48
42
42
36
36
30
24
18
18
12
12
6
6
8
10
12
14
Practice (weeks)
12
14
16
18
20
16
18
20
30
24
6
10
Violin Competition
60
Score
Score
Violin Competition
4
8
Practice (weeks)
60
2
6
16
18
20
2
4
6
8
10
12
14
Practice (weeks)
____ 84. What is the line of best fit for the data in question 83
a.
c.
b.
d.
____ 85. Since 1985, the daily costs of patient care in community hospitals in the United States has increased by 8.1 %
per year. Which of the following types of functions would best model the situation?
a. Linear Function
c. Quadratic Function
b. Exponential Function
d. Power Function
____ 86. A music store is offering a coupon promotion on its DVD’s. The regular price for DVD’s is $19.99. With
the coupon, customers are given $4.00 off the cost of the entire DVD purchase. Which of the following
types of functions will best model the situation?
a. Linear Function
c. Quadratic Function
b. Exponential Function
d. Power Function
____ 87. Which of the following describes the function
?
a. quadratic function
c. power function
b. exponential function
d. logarithmic function
____ 88. Which of the following describes the function
?
a. quadratic function
c. power function
b. exponential function
d. logarithmic function
____ 89. Graph the set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its
equation.
{(1, 7), (–2, 1), (3, 13), (–4, –3), (0, 5)}
a. yes;
c.
y
yes;
y
12
12
8
8
4
4
–8
–4
O
4
8
12 x
–4
–4
O
–4
b.
yes;
d. yes;
4
8
12
x
y
y
12
8
8
4
4
–8
O
–4
–4
O
4
8
x
–4
4
8
12
x
–4
–8
____ 90. Which of the following equations best fits the data shown in the scatterplot below?
a. y = -2x + 8
b.
y=
x+8
c.
y = -x + 8
d.
y = 2x + 8
____ 91. A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by
the function
.
a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary.
b. What is the ball’s maximum height?
a. a. 1.13 s; b. 69.75 ft
c. a. 1.13 s; b. 31.5 ft
b. a. 1.13 s; b. 29.25 ft
d. a. 2.25 s; b. 9 ft
____ 92. What situation can be modeled with a quadratic function?
a. paying your phone bill
c. the path of throwing a snowball
b. depreciation of your car
d. bacteria growth
____ 93. What is the line of best fit for this data?
Average Speed (mi/h)
Time (hours)
8.5
2.5
7.5
3.75
6.5
4.5
6.0
5.0
5.5
5.5
5.0
6.25
4.0
6.75
3.5
8.75
a. y = 11.83x – 1. 11; r = –0.9760964904
b. y = –1.11x + 11.83; r = –0.9760964904
c. y = 11.83x – 1. 11; r = 0.9527643586
d. y = –1.11x + 11.83; r = 0.9527643586
____ 94. What is the line of best fit for this data?
Christine’s Best Javelin Throws
(Use x = 0 for 1997.)
a. y = 31.15x + 0.864; r = 0.7139281244
b. y = –0.864x + 31.15; r = 0.7139281244
c. y = 31.15x + 0.864; r = 0.8449426752
d. y = 0.864x + 31.15; r = 0.8449426752
____ 95. The line of best fit for a data set has a correlation coefficient of r = -0.94. What does this indicate about the
line of best fit?
a. There is a strong negative correlation .
c. 94% of the data are on the line of best fit.
b. The slope of the line is -.94.
d. There is a strong positive correlation.
____ 96. Which graph shows the best trend line for the following data.
a.
c.
Violin Competition
60
54
54
48
48
42
42
36
36
Score
Score
Violin Competition
60
30
30
24
24
18
18
12
12
6
6
2
4
6
8
10
12
14
16
18
20
2
4
Practice (weeks)
b.
d.
54
54
48
48
42
42
36
36
30
24
18
18
12
12
6
6
8
10
12
14
Practice (weeks)
12
14
16
18
20
16
18
20
30
24
6
10
Violin Competition
60
Score
Score
Violin Competition
4
8
Practice (weeks)
60
2
6
16
18
20
2
4
6
8
10
12
14
Practice (weeks)
____ 97. What is the line of best fit for the scatterplot below? What does the slope represent?
a.
b.
c.
d.
y
y
y
y
2.5x 400; Gina saves $2.50 for every hundred dollars she earns
2.5x 400; Gina saves $1.00 for every $2.50 she earns
-2.5x 400; Gina saves $2.50 for every hundred dollars she earns
-2.5x 400; Gina saves $1.00 less for every additional $2.50 she earns
____ 98. Which of the following equation is a line of best fit for the scatterplot? Based on the equation, predict the
lenght of the lizard’s tail if its total length was 4cm?
a.
c.
b.
d.
____ 99. Which of the following statements is true about the function below?
a.
c.
The graph will cross at 3 and 4 and will
touch the x-axis at 0.
b.
The graph will touch the x-axis at 3 and
-4.
d. no solution
The graph will cross at 3, -3, 4, and -4.
____ 100. The polynomial function below is written in factored form.
What is true about the graph of the function?
a. The graph will cross the x-axis at -3 and 2. c. The graph will cross the x-axis at 0, -3,
and touch at 2.
b. The graph will cross the x-axis at 0, -3,
d. The graph will cross the x-axis at 3 and -2.
and 2.
____ 101. Which of the following statements is true about the equation:
.
a. The function has a degree of 4 and a maximum of 3 real zeros.
b. The function has a degree of 4 and a maximum of 4 real zeros.
c. The function has a degree of 10 and a maximum of 10 real zeros.
d. The function has a degree of 10 and a maximum of 9 real zeros.
____ 102. Which of the following statements is true for the equation:
.
a. The function has a degree of 5 and a maximum of 5 real zeros.
b. The function has a degree of 5 and a maximum of 3 real zeros.
c. The function has a degree of 7 and a maximum of 7 real zeros.
d. The function has a degree of 7 and a maximum of 6 real zeros.
____ 103. Which of the quadratic functions has the narrowest graph?
a.
b.
c.
d.
____ 104. Which of the quadratic functions has the widest graph?
a.
b.
c.
____ 105. A parabola ________ has an axis of symmetry.
d.
a. always
b. sometimes
c. never
____ 106. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function.
a.
c.
; vertex:
b.
; vertex:
d.
; vertex:
____ 107. Graph
a.
; vertex:
. Label the axis of symmetry and vertex.
y
c.
–6
–4
6
4
4
2
2
–2
2
4
6
–6
x
–2
–2
–4
–4
–6
–6
b.
d.
4
6
x
2
4
6
x
y
6
6
4
4
2
2
–2
2
Axis of symmetry:
Vertex:
y
–4
–4
–2
Axis of symmetry:
Vertex:
–6
y
6
2
4
6
x
–6
–4
–2
–2
–2
–4
–4
–6
–6
Axis of symmetry:
Vertex:
Axis of symmetry:
Vertex:
____ 108.
a. 18, 28
b. –9, –14
c. 9, 14
d. –18, 28
a. –6.21, 0.21
b. –17, 14
c. –3.11, 0.11
d. –0.11, 3.11
____ 109.
____ 110. 3
a. 2.78, 3.5
b. 2, –5
c. 1.37, –10.37
____ 111. For which discriminant is the graph possible?
d. –54.75, 45.75
y
6
4
2
–4
–2
2
–2
4
x
–4
–6
–8
–10
a.
b.
____ 112. Which is the graph of
a.
c.
?
c.
y
y
8
8
6
6
4
4
2
2
–8 –6 –4 –2 O
–2
2
4
6
8
–8 –6 –4 –2 O
–2
x
–4
–4
–6
–6
–8
–8
b.
d.
y
8
6
6
4
4
2
2
2
4
6
8
x
4
6
8
x
2
4
6
8
x
y
8
–8 –6 –4 –2 O
–2
2
–8 –6 –4 –2 O
–2
–4
–4
–6
–6
–8
–8
____ 113. Write
a.
b.
____ 114. vertex (–2, 4), point (4, 40)
a.
b.
in vertex form.
c.
d.
c.
d.