Deck 2: Polynomial, Power, and Rational Functions

ملء الشاشة (f)
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سؤال
Find a polynomial of degree 3 whose zeros are <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
Solve the rational equation
Solve the rational equation  <div style=padding-top: 35px>
سؤال
The formula The formula   gives the height of an object tossed upward where   represents the initial velocity,   represents the initial height, and  t  represents time. A golf ball is hit straight up from the ground level with an initial velocity of  72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height.<div style=padding-top: 35px> gives the height of an object tossed upward where The formula   gives the height of an object tossed upward where   represents the initial velocity,   represents the initial height, and  t  represents time. A golf ball is hit straight up from the ground level with an initial velocity of  72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height.<div style=padding-top: 35px> represents the initial velocity, The formula   gives the height of an object tossed upward where   represents the initial velocity,   represents the initial height, and  t  represents time. A golf ball is hit straight up from the ground level with an initial velocity of  72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height.<div style=padding-top: 35px> represents the initial height, and t represents time. A golf ball is hit straight up from the ground level with an initial velocity of 72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height.
سؤال
Which of the following gives the zeros of the graph and their multiplicity?
<strong>Which of the following gives the zeros of the graph and their multiplicity?  </strong> A) 1 (multiplicity 1), 3 (multiplicity 2) B) 1 (multiplicity 3), 2 (multiplicity 1) C) 1 (multiplicity 3 ), 3  (multiplicity 1 ) D) 1 (multiplicity 2), 3 (multiplicity 1) E) 1 (multiplicity 1), 2 (multiplicity 3) <div style=padding-top: 35px>

A) 1 (multiplicity 1), 3 (multiplicity 2)
B) 1 (multiplicity 3), 2 (multiplicity 1)
C) 1 (multiplicity 3 ), 3 (multiplicity 1 )
D) 1 (multiplicity 2), 3 (multiplicity 1)
E) 1 (multiplicity 1), 2 (multiplicity 3)
سؤال
Solve the inequality
Solve the inequality  <div style=padding-top: 35px>
سؤال
  ch02_p13_20 3/31/10 8:49 AM Page 14<div style=padding-top: 35px> ch02_p13_20 3/31/10 8:49 AM Page 14
سؤال
  ch02_p13_20 3/31/10 8:49 AM Page 15<div style=padding-top: 35px> ch02_p13_20 3/31/10 8:49 AM Page 15
سؤال
Use long division to find the remainder when Use long division to find the remainder when   is divided by  <div style=padding-top: 35px> is divided by Use long division to find the remainder when   is divided by  <div style=padding-top: 35px>
سؤال
Use the Remainder Theorem to find the remainder when Use the Remainder Theorem to find the remainder when   is divided by  x-6 .<div style=padding-top: 35px> is divided by x-6 .
سؤال
Draw the graph of <strong>Draw the graph of   in the  [-15,10]  by  [-100,175]  viewing rectangle. How many real zeros are evident from this graph?</strong> A) 1 B) 2 C) 3 D) 0 E) Infinitely many <div style=padding-top: 35px>
in the [-15,10] by [-100,175] viewing rectangle. How many real zeros are evident from this graph?

A) 1
B) 2
C) 3
D) 0
E) Infinitely many
سؤال
Find all rational zeros of Find all rational zeros of  <div style=padding-top: 35px>
سؤال
Find all the zeros of
Find all the zeros of  <div style=padding-top: 35px>
سؤال
Write a linear factorization of
Write a linear factorization of  <div style=padding-top: 35px>
سؤال
Find the domain of <strong>Find the domain of  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
  ch02_p13_20 3/31/10 8:49 AM Page 17 FORM A DATE 2 Chapter Test NAME Directions: Show all work where appropriate. A graphing calculator may be necessary to answer some questions.<div style=padding-top: 35px> ch02_p13_20 3/31/10 8:49 AM Page 17
FORM A DATE
2 Chapter Test NAME
Directions: Show all work where appropriate. A graphing calculator may be necessary to answer
some questions.
سؤال
Find a polynomial of degree 2 with real-number coefficients and zero Find a polynomial of degree 2 with real-number coefficients and zero  <div style=padding-top: 35px>
سؤال
Use synthetic division to divide Use synthetic division to divide   Summarize your results by writing a fraction equation.  <div style=padding-top: 35px>
Summarize your results by writing a fraction equation. Use synthetic division to divide   Summarize your results by writing a fraction equation.  <div style=padding-top: 35px>
سؤال
  ch02_p13_20 3/31/10 8:49 AM Page 16<div style=padding-top: 35px> ch02_p13_20 3/31/10 8:49 AM Page 16
سؤال
   <div style=padding-top: 35px>    <div style=padding-top: 35px>
سؤال
Write an equation in standard form for the parabola that has vertex (3,-2) and passes through the point (1,14) .
سؤال
Identify the horizontal and vertical asymptotes for the function Identify the horizontal and vertical asymptotes for the function  <div style=padding-top: 35px>
سؤال
 <div style=padding-top: 35px>
سؤال
Find all zeros of Find all zeros of   and write a linear factorization of  f(x) .<div style=padding-top: 35px> and write a linear factorization of f(x) .
سؤال
  ch02_p13_20 3/31/10 8:49 AM Page 19<div style=padding-top: 35px> ch02_p13_20 3/31/10 8:49 AM Page 19
سؤال
   <div style=padding-top: 35px>    <div style=padding-top: 35px>
سؤال
The line x=3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (1,0) and (4,-3) , what is the equation for the parabola?
سؤال
Tell how the graph of Tell how the graph of   can be obtained from the graph of    by using  transformations.<div style=padding-top: 35px> can be obtained from the graph of Tell how the graph of   can be obtained from the graph of    by using  transformations.<div style=padding-top: 35px> by using transformations.
سؤال
What is the remainder when What is the remainder when   is divided by  x-1  ?<div style=padding-top: 35px> is divided by x-1 ?
سؤال
What is the remainder when What is the remainder when   is divided by  x+1  ?<div style=padding-top: 35px> is divided by x+1 ?
سؤال
Which one of the following is a polynomial with real coefficients that has 2 and <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
as zeros?

A) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is a polynomial with real coefficients that has -2 and <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as zeros?

A) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
    ch02_p13_20 3/31/10 8:49 AM Page 18 FORM A<div style=padding-top: 35px>     ch02_p13_20 3/31/10 8:49 AM Page 18 FORM A<div style=padding-top: 35px> ch02_p13_20 3/31/10 8:49 AM Page 18
FORM A
سؤال
What is the minimum value for the function What is the minimum value for the function  <div style=padding-top: 35px>
سؤال
   <div style=padding-top: 35px>    <div style=padding-top: 35px>
سؤال
A photograph is 4 in. longer than it is wide. If the frame is 2 in. wide, the combined area of the photograph and the frame is A photograph is 4 in. longer than it is wide. If the frame is 2 in. wide, the combined area of the photograph and the frame is   Find the dimensions of the photograph without the frame.<div style=padding-top: 35px>
Find the dimensions of the photograph without the frame.
سؤال
Divide Divide   by  x-2 <div style=padding-top: 35px> by x-2
سؤال
 <div style=padding-top: 35px>
سؤال
   <div style=padding-top: 35px>    <div style=padding-top: 35px>
سؤال
Solve the inequality Solve the inequality  <div style=padding-top: 35px>
سؤال
Divide
Divide  <div style=padding-top: 35px>
سؤال
A swimming pool is 8 ft longer than it is wide. The pool is surrounded by a walkway of width 4 ft . The combined area of the pool and the walkway is A swimming pool is  8 ft longer than it is wide. The pool is surrounded by a walkway of width  4 ft . The combined area of the pool and the walkway is   Find the dimensions of the pool without the walkway.<div style=padding-top: 35px>
Find the dimensions of the pool without the walkway.
سؤال
Tell how the graph of Tell how the graph of   can be obtained from the graph of   by using transformations.<div style=padding-top: 35px> can be obtained from the graph of Tell how the graph of   can be obtained from the graph of   by using transformations.<div style=padding-top: 35px> by using transformations.
سؤال
Graph the function Graph the function   Choose a viewing window that shows three local extremum values and all the  x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.  <div style=padding-top: 35px>
Choose a viewing window that shows three local extremum values and all the x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.
Graph the function   Choose a viewing window that shows three local extremum values and all the  x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.  <div style=padding-top: 35px>
سؤال
In the space below, identify all asymptotes and intercepts of the function In the space below, identify all asymptotes and intercepts of the function   Sketch a graph of  g(x) .<div style=padding-top: 35px> Sketch a graph of g(x) .
سؤال
The line x=3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (5,-3) and (-1,9) , what is the equation for the parabola?
سؤال
Identify the horizontal and vertical asymptotes for th function Identify the horizontal and vertical asymptotes for th function  <div style=padding-top: 35px>
سؤال
   <div style=padding-top: 35px>    <div style=padding-top: 35px>
سؤال
What is the minimum value for the function
What is the minimum value for the function  <div style=padding-top: 35px>
سؤال
Jennifer's distance D from a motion detector is given by the data below. Find a cubic regression equation (with coefficients expressed to the nearest thousandth), and graph it together with a scatter plot of the data.
Jennifer's distance  D  from a motion detector is given by the data below. Find a cubic regression equation (with coefficients expressed to the nearest thousandth), and graph it together with a scatter plot of the data.  <div style=padding-top: 35px>
سؤال
Solve the inequality Solve the inequality  <div style=padding-top: 35px>
سؤال
Solve the inequality
Solve the inequality  <div style=padding-top: 35px>
سؤال
DATE \@ "M/d/yyyy" 12/6/2020 DATE \@ M/d/yyyy 12/6/2020  <div style=padding-top: 35px>
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ملء الشاشة (f)
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Deck 2: Polynomial, Power, and Rational Functions
1
Find a polynomial of degree 3 whose zeros are <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)

A) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)
B) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)
C) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)
D) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)
E) <strong>Find a polynomial of degree 3 whose zeros are  </strong> A)   B)   C)   D)   E)
2
Solve the rational equation
Solve the rational equation
  Extraneous root: 2
Extraneous root: 2
3
The formula The formula   gives the height of an object tossed upward where   represents the initial velocity,   represents the initial height, and  t  represents time. A golf ball is hit straight up from the ground level with an initial velocity of  72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height. gives the height of an object tossed upward where The formula   gives the height of an object tossed upward where   represents the initial velocity,   represents the initial height, and  t  represents time. A golf ball is hit straight up from the ground level with an initial velocity of  72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height. represents the initial velocity, The formula   gives the height of an object tossed upward where   represents the initial velocity,   represents the initial height, and  t  represents time. A golf ball is hit straight up from the ground level with an initial velocity of  72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height. represents the initial height, and t represents time. A golf ball is hit straight up from the ground level with an initial velocity of 72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height.
Maximum height: 81 ft
Time: 2.25 sec
4
Which of the following gives the zeros of the graph and their multiplicity?
<strong>Which of the following gives the zeros of the graph and their multiplicity?  </strong> A) 1 (multiplicity 1), 3 (multiplicity 2) B) 1 (multiplicity 3), 2 (multiplicity 1) C) 1 (multiplicity 3 ), 3  (multiplicity 1 ) D) 1 (multiplicity 2), 3 (multiplicity 1) E) 1 (multiplicity 1), 2 (multiplicity 3)

A) 1 (multiplicity 1), 3 (multiplicity 2)
B) 1 (multiplicity 3), 2 (multiplicity 1)
C) 1 (multiplicity 3 ), 3 (multiplicity 1 )
D) 1 (multiplicity 2), 3 (multiplicity 1)
E) 1 (multiplicity 1), 2 (multiplicity 3)
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5
Solve the inequality
Solve the inequality
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6
  ch02_p13_20 3/31/10 8:49 AM Page 14 ch02_p13_20 3/31/10 8:49 AM Page 14
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7
  ch02_p13_20 3/31/10 8:49 AM Page 15 ch02_p13_20 3/31/10 8:49 AM Page 15
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8
Use long division to find the remainder when Use long division to find the remainder when   is divided by  is divided by Use long division to find the remainder when   is divided by
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9
Use the Remainder Theorem to find the remainder when Use the Remainder Theorem to find the remainder when   is divided by  x-6 . is divided by x-6 .
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10
Draw the graph of <strong>Draw the graph of   in the  [-15,10]  by  [-100,175]  viewing rectangle. How many real zeros are evident from this graph?</strong> A) 1 B) 2 C) 3 D) 0 E) Infinitely many
in the [-15,10] by [-100,175] viewing rectangle. How many real zeros are evident from this graph?

A) 1
B) 2
C) 3
D) 0
E) Infinitely many
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11
Find all rational zeros of Find all rational zeros of
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12
Find all the zeros of
Find all the zeros of
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13
Write a linear factorization of
Write a linear factorization of
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14
Find the domain of <strong>Find the domain of  </strong> A)   B)   C)   D)   E)

A) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)
B) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)
C) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)
D) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)
E) <strong>Find the domain of  </strong> A)   B)   C)   D)   E)
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15
  ch02_p13_20 3/31/10 8:49 AM Page 17 FORM A DATE 2 Chapter Test NAME Directions: Show all work where appropriate. A graphing calculator may be necessary to answer some questions. ch02_p13_20 3/31/10 8:49 AM Page 17
FORM A DATE
2 Chapter Test NAME
Directions: Show all work where appropriate. A graphing calculator may be necessary to answer
some questions.
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16
Find a polynomial of degree 2 with real-number coefficients and zero Find a polynomial of degree 2 with real-number coefficients and zero
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17
Use synthetic division to divide Use synthetic division to divide   Summarize your results by writing a fraction equation.
Summarize your results by writing a fraction equation. Use synthetic division to divide   Summarize your results by writing a fraction equation.
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18
  ch02_p13_20 3/31/10 8:49 AM Page 16 ch02_p13_20 3/31/10 8:49 AM Page 16
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19
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20
Write an equation in standard form for the parabola that has vertex (3,-2) and passes through the point (1,14) .
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21
Identify the horizontal and vertical asymptotes for the function Identify the horizontal and vertical asymptotes for the function
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22
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23
Find all zeros of Find all zeros of   and write a linear factorization of  f(x) . and write a linear factorization of f(x) .
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24
  ch02_p13_20 3/31/10 8:49 AM Page 19 ch02_p13_20 3/31/10 8:49 AM Page 19
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25
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26
The line x=3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (1,0) and (4,-3) , what is the equation for the parabola?
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27
Tell how the graph of Tell how the graph of   can be obtained from the graph of    by using  transformations. can be obtained from the graph of Tell how the graph of   can be obtained from the graph of    by using  transformations. by using transformations.
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28
What is the remainder when What is the remainder when   is divided by  x-1  ? is divided by x-1 ?
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29
What is the remainder when What is the remainder when   is divided by  x+1  ? is divided by x+1 ?
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30
Which one of the following is a polynomial with real coefficients that has 2 and <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)
as zeros?

A) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is a polynomial with real coefficients that has 2 and   as zeros?</strong> A)   B)   C)   D)   E)
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31
Which one of the following is a polynomial with real coefficients that has -2 and <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)   as zeros?

A) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is a polynomial with real coefficients that has  -2  and   as zeros?</strong> A)   B)   C)   D)   E)
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32
    ch02_p13_20 3/31/10 8:49 AM Page 18 FORM A     ch02_p13_20 3/31/10 8:49 AM Page 18 FORM A ch02_p13_20 3/31/10 8:49 AM Page 18
FORM A
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33
What is the minimum value for the function What is the minimum value for the function
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34
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35
A photograph is 4 in. longer than it is wide. If the frame is 2 in. wide, the combined area of the photograph and the frame is A photograph is 4 in. longer than it is wide. If the frame is 2 in. wide, the combined area of the photograph and the frame is   Find the dimensions of the photograph without the frame.
Find the dimensions of the photograph without the frame.
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36
Divide Divide   by  x-2 by x-2
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37
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38
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39
Solve the inequality Solve the inequality
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40
Divide
Divide
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41
A swimming pool is 8 ft longer than it is wide. The pool is surrounded by a walkway of width 4 ft . The combined area of the pool and the walkway is A swimming pool is  8 ft longer than it is wide. The pool is surrounded by a walkway of width  4 ft . The combined area of the pool and the walkway is   Find the dimensions of the pool without the walkway.
Find the dimensions of the pool without the walkway.
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42
Tell how the graph of Tell how the graph of   can be obtained from the graph of   by using transformations. can be obtained from the graph of Tell how the graph of   can be obtained from the graph of   by using transformations. by using transformations.
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43
Graph the function Graph the function   Choose a viewing window that shows three local extremum values and all the  x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.
Choose a viewing window that shows three local extremum values and all the x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.
Graph the function   Choose a viewing window that shows three local extremum values and all the  x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.
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44
In the space below, identify all asymptotes and intercepts of the function In the space below, identify all asymptotes and intercepts of the function   Sketch a graph of  g(x) . Sketch a graph of g(x) .
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45
The line x=3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (5,-3) and (-1,9) , what is the equation for the parabola?
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46
Identify the horizontal and vertical asymptotes for th function Identify the horizontal and vertical asymptotes for th function
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47
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48
What is the minimum value for the function
What is the minimum value for the function
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49
Jennifer's distance D from a motion detector is given by the data below. Find a cubic regression equation (with coefficients expressed to the nearest thousandth), and graph it together with a scatter plot of the data.
Jennifer's distance  D  from a motion detector is given by the data below. Find a cubic regression equation (with coefficients expressed to the nearest thousandth), and graph it together with a scatter plot of the data.
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50
Solve the inequality Solve the inequality
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51
Solve the inequality
Solve the inequality
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52
DATE \@ "M/d/yyyy" 12/6/2020 DATE \@ M/d/yyyy 12/6/2020
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