Question 1

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places.
-$$y = x ^ { 3 } + 3 x ^ { 2 } - 5 x - 7$$

Accepted Answer

A)  $1.76$ 
B)  $1.91$ 
C)  $3.83$ 
D)  $1.83$ 
A)  $1.76$ 
B)  $1.91$ 
C)  $3.83$ 
D)  $1.83$ D

Question 2

Graph the equation using the indicated viewing window.
-$$\begin{array} { l } 
y = x + 4 \
X \min = - 5 \
X \text { max } = 5 \
X \text { scl } = 1 \
Y \text { min } = - 4 \
\text { Y max } = 4 \
Y \text { scl } = 1
\end{array}$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D) 
  A

Question 3

Determine the viewing window used.
-

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D) 
  A

Question 4

For the equation, create a table, nd list points on the graph. $$- 3 \leq x \leq 3 ,$$
-$$2 x + 3 y = 6$$

Accepted Answer

A) 
 
$(-3,0),(-2,0.67),(-1,1.33),(0,2),(1,2.67),(2,3.33),(3,4)$ 
B) 
 
$(-3,8),(-2,6),(-1,4),(0,2),(1,0),(2,-2),(3,-4)$ 
C) 
 
$(-3,8),(-2,7.33),(-1,6.67),(0,6),(1,5.33),(2,4.67),(3,4)$ 
D) 
 
$(-3,4),(-2,3.33),(-1,2.67),(0,2),(1,1.33),(2,0.67),(3,0)$ 
A) 
 
$(-3,0),(-2,0.67),(-1,1.33),(0,2),(1,2.67),(2,3.33),(3,4)$ 
B) 
 
$(-3,8),(-2,6),(-1,4),(0,2),(1,0),(2,-2),(3,-4)$ 
C) 
 
$(-3,8),(-2,7.33),(-1,6.67),(0,6),(1,5.33),(2,4.67),(3,4)$ 
D) 
 
$(-3,4),(-2,3.33),(-1,2.67),(0,2),(1,1.33),(2,0.67),(3,0)$

Question 5

Use a graphing utility to graph the polar equation.
-$r \cos \theta = 2$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 6

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are
integers.
-

Accepted Answer

A)  $( - 4,6 )$; quadrant II 
B)  $( - 4,6 )$; quadrant I 
C)  $( - 4,3 )$; quadrant II 
D)  $( - 4,3 )$; quadrant I 
A)  $( - 4,6 )$; quadrant II 
B)  $( - 4,6 )$; quadrant I 
C)  $( - 4,3 )$; quadrant II 
D)  $( - 4,3 )$; quadrant I

Question 7

Use ZERO (or ROOT) to find the solutions to the equation. Round to two decimal places.
-$$x ^ { 2 } + 6 x - 11 = 0$$

Accepted Answer

A)  $x = 1.27 , - 7.66$ 
B)  $x = 1.47 , - 7.47$ 
C)  $x = 1.27 , - 7.67$ 
D)  $x = 1.28 , - 7.67$ 
A)  $x = 1.27 , - 7.66$ 
B)  $x = 1.47 , - 7.47$ 
C)  $x = 1.27 , - 7.67$ 
D)  $x = 1.28 , - 7.67$

Question 8

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are
integers.
-

Accepted Answer

A)  $( 1,3 )$; quadrant I 
B)  $( 1,6 ) ;$ quadrant I 
C)  $( 1,3 ) ;$ quadrant II 
D)  $( 1,6 )$; quadrant II 
A)  $( 1,3 )$; quadrant I 
B)  $( 1,6 ) ;$ quadrant I 
C)  $( 1,3 ) ;$ quadrant II 
D)  $( 1,6 )$; quadrant II

Question 9

Use a graphing utility to solve the system of linear equations and give the solution of the system.
-$$\left\{ \begin{array} { r r } 
9 x + 3 y - z = & 15 \
x + 7 y - 6 z = & - 18 \
7 x + y + z = & 21
\end{array} \right.$$

Accepted Answer

A) 
 
$$x = \frac { 5 } { 3 } , y = - \frac { 59 } { 20 } , z = 9$$ 
B)

$x=1, y=5, z=9$ 
C) 
 
$$x = 9 , y = 5 , z = 1$$ 
D) 
 
$$x = \frac { 5 } { 2 } , y = - \frac { 11 } { 2 } , z = 9$$ 
A) 
 
$$x = \frac { 5 } { 3 } , y = - \frac { 59 } { 20 } , z = 9$$ 
B)

$x=1, y=5, z=9$ 
C) 
 
$$x = 9 , y = 5 , z = 1$$ 
D) 
 
$$x = \frac { 5 } { 2 } , y = - \frac { 11 } { 2 } , z = 9$$

Question 10

For the equation, create a table, nd list points on the graph. $$- 3 \leq x \leq 3 ,$$
-$$y = x + 4$$

Accepted Answer

A) 
 
$(-3,-1),(-2,-2),(-1,-3),(0,-4),(1,-5),(2,-6),(3,-7)$ 
B) 
 
$(-3,-7),(-2,-6),(-1,-5),(0,-4),(1,-3),(2,-2),(3,-1)$ 
C) 
 
$(-3,7),(-2,6),(-1,5),(0,4),(1,3),(2,2),(3,1)$ 
D) 
 
$(-3,1),(-2,2),(-1,3),(0,4),(1,5),(2,6),(3,7)$ 
A) 
 
$(-3,-1),(-2,-2),(-1,-3),(0,-4),(1,-5),(2,-6),(3,-7)$ 
B) 
 
$(-3,-7),(-2,-6),(-1,-5),(0,-4),(1,-3),(2,-2),(3,-1)$ 
C) 
 
$(-3,7),(-2,6),(-1,5),(0,4),(1,3),(2,2),(3,1)$ 
D) 
 
$(-3,1),(-2,2),(-1,3),(0,4),(1,5),(2,6),(3,7)$

Question 11

Determine whether the given viewing rectangle will result in a square screen.
-$$\begin{array} { l } 
\mathrm { X } \min = - 8 \
\mathrm { X } \max = 10 \
\mathrm { X } \text { scl } = 1 \
\mathrm { Y } \min = - 4 \
\mathrm { Y } \max = 8 \
\mathrm { Y } \mathrm { scl } = 2
\end{array}$$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 12

Use INTERSECT to find the solution to the equation. Round to two decimal places, if necessary.
-$$3 ( x - 4 ) = 5 ( x - 5 )$$

Accepted Answer

A)  $x = - 1.5$ 
B)  $x = 6.5$ 
C)  $x = - 6.5$ 
D)  $x = 1.5$ 
A)  $x = - 1.5$ 
B)  $x = 6.5$ 
C)  $x = - 6.5$ 
D)  $x = 1.5$

Question 13

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are
integers.
-

Accepted Answer

A)  $( 2 , - 2 )$; quadrant III 
B)  $( 2 , - 1 )$; quadrant IV 
C)  $( 2 , - 2 )$; quadrant IV 
D)  $( 2 , - 1 )$; quadrant III 
A)  $( 2 , - 2 )$; quadrant III 
B)  $( 2 , - 1 )$; quadrant IV 
C)  $( 2 , - 2 )$; quadrant IV 
D)  $( 2 , - 1 )$; quadrant III

Question 14

Determine the viewing window used.
-

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 15

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places.
-$$y = x ^ { 4 } + 1.5 x ^ { 3 } - 8.31 x ^ { 2 } - 3.27 x + 8.39$$

Accepted Answer

A)  $0.87$ and $2.21$ 
B)  $8.39$ 
C)  $0.94$ and $2.18$ 
D)  $1.19$ and $3.44$ 
A)  $0.87$ and $2.21$ 
B)  $8.39$ 
C)  $0.94$ and $2.18$ 
D)  $1.19$ and $3.44$

Question 16

Use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of the equation. Express the answer rounded to
two decimal places.
-$$y = x ^ { 2 } + 5 x - 1$$

Accepted Answer

A)  $5.19$ 
B)  $- 5.19$ 
C)  $0.19$ 
D)  $- 0.19$ 
A)  $5.19$ 
B)  $- 5.19$ 
C)  $0.19$ 
D)  $- 0.19$

Question 17

Use a graphing utility to graph the inequality.
-$2 x + y - 3 \leq 0$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

Use a graphing utility to graph the parametric equation.
-$x ( t ) = t ^ { 2 } + 2 , \quad y ( t ) = 2 t - 1 , \quad - 3 \leq t \leq 3$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 19

Find the length of the line segment. Assume that the endpoints of the segment have integer coordinates.
--

Accepted Answer

A)  $4 \sqrt { 17 }$ 
B)  $4 \sqrt { 85 }$ 
C)  $8 \sqrt { 5 }$ 
D)  $4 \sqrt { 5 }$ 
A)  $4 \sqrt { 17 }$ 
B)  $4 \sqrt { 85 }$ 
C)  $8 \sqrt { 5 }$ 
D)  $4 \sqrt { 5 }$

Question 20

Select a setting so that the given points will lie within the viewing rectangle.
-$(0,-4),(20,9),(80,-8)$

Accepted Answer

A) 
$\begin{array}{l}
X \min =10 \
X \text { max }=90 \
X \mathrm{scl}=10 \
Y \text { min }=-9 \
Y \text { max }=10 \
Y \mathrm{scl}=1
\end{array}$ 
B) 
 $\begin{array}{l}
X \min =-9 \
X \text { max }=10 \
X \text { scl }=1 \
Y \min =-10 \
Y \text { max }=90 \
Y \mathrm{scl}=10
\end{array}$ 
C) 
$\begin{array}{l}
X \text { min }=-10 \
X \text { max }=90 \
X \mathrm{scl}=10 \
Y \text { min }=-5 \
Y \text { max }=10 \
Y \mathrm{scl}=1
\end{array}$ 
D) 
$\begin{array}{l}
X_{\min }=-10 \
X_{\max }=90 \
\mathrm{X} \mathrm{scl}=10 \
\mathrm{Y} \text { min }=-9 \
\mathrm{Y} \max =10 \
\mathrm{Y} \mathrm{scl}=1
\end{array}$ 
A) 
$\begin{array}{l}
X \min =10 \
X \text { max }=90 \
X \mathrm{scl}=10 \
Y \text { min }=-9 \
Y \text { max }=10 \
Y \mathrm{scl}=1
\end{array}$ 
B) 
 $\begin{array}{l}
X \min =-9 \
X \text { max }=10 \
X \text { scl }=1 \
Y \min =-10 \
Y \text { max }=90 \
Y \mathrm{scl}=10
\end{array}$ 
C) 
$\begin{array}{l}
X \text { min }=-10 \
X \text { max }=90 \
X \mathrm{scl}=10 \
Y \text { min }=-5 \
Y \text { max }=10 \
Y \mathrm{scl}=1
\end{array}$ 
D) 
$\begin{array}{l}
X_{\min }=-10 \
X_{\max }=90 \
\mathrm{X} \mathrm{scl}=10 \
\mathrm{Y} \text { min }=-9 \
\mathrm{Y} \max =10 \
\mathrm{Y} \mathrm{scl}=1
\end{array}$

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places. - $y = x ^ { 3 } + 3 x ^ { 2 } - 5 x - 7$

Graph the equation using the indicated viewing window. - y=x+4 X=-5 X max =5 X scl =1 Y min =-4 Y max =4 Y scl =1

Determine the viewing window used. -

For the equation, create a table, nd list points on the graph. $- 3 \leq x \leq 3 ,$ - $2 x + 3 y = 6$

Use a graphing utility to graph the polar equation. - $r \cos \theta = 2$

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. -

Use ZERO (or ROOT) to find the solutions to the equation. Round to two decimal places. - $x ^ { 2 } + 6 x - 11 = 0$

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. -

Use a graphing utility to solve the system of linear equations and give the solution of the system. - $\left\{ \begin{array} { r r } 9 x + 3 y - z = & 15 \\x + 7 y - 6 z = & - 18 \\7 x + y + z = & 21\end{array} \right.$

For the equation, create a table, nd list points on the graph. $- 3 \leq x \leq 3 ,$ - $y = x + 4$

Determine whether the given viewing rectangle will result in a square screen. - =-8 =10 scl =1 =-4 =8 =2

Use INTERSECT to find the solution to the equation. Round to two decimal places, if necessary. - $3 ( x - 4 ) = 5 ( x - 5 )$

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. -

Determine the viewing window used. -

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places. - $y = x ^ { 4 } + 1.5 x ^ { 3 } - 8.31 x ^ { 2 } - 3.27 x + 8.39$

Use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of the equation. Express the answer rounded to two decimal places. - $y = x ^ { 2 } + 5 x - 1$

Use a graphing utility to graph the inequality. - $2 x + y - 3 \leq 0$

Use a graphing utility to graph the parametric equation. - $x ( t ) = t ^ { 2 } + 2 , \quad y ( t ) = 2 t - 1 , \quad - 3 \leq t \leq 3$

Find the length of the line segment. Assume that the endpoints of the segment have integer coordinates. --

Select a setting so that the given points will lie within the viewing rectangle. - $(0,-4),(20,9),(80,-8)$

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Filters

Exam 15: Graphing Utilities

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places. - y=x3+3x2−5x−7y = x ^ { 3 } + 3 x ^ { 2 } - 5 x - 7y=x3+3x2−5x−7

Graph the equation using the indicated viewing window. - y=x+4 X=-5 X max =5 X scl =1 Y min =-4 Y max =4 Y scl =1

Determine the viewing window used. -

For the equation, create a table, nd list points on the graph. −3≤x≤3,- 3 \leq x \leq 3 ,−3≤x≤3, - 2x+3y=62 x + 3 y = 62x+3y=6

Use a graphing utility to graph the polar equation. - rcos⁡θ=2r \cos \theta = 2rcosθ=2

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. -

Use ZERO (or ROOT) to find the solutions to the equation. Round to two decimal places. - x2+6x−11=0x ^ { 2 } + 6 x - 11 = 0x2+6x−11=0

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. -

For the equation, create a table, nd list points on the graph. −3≤x≤3,- 3 \leq x \leq 3 ,−3≤x≤3, - y=x+4y = x + 4y=x+4

Determine whether the given viewing rectangle will result in a square screen. - =-8 =10 scl =1 =-4 =8 =2

Use INTERSECT to find the solution to the equation. Round to two decimal places, if necessary. - 3(x−4)=5(x−5)3 ( x - 4 ) = 5 ( x - 5 )3(x−4)=5(x−5)

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. -

Determine the viewing window used. -

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places. - y=x4+1.5x3−8.31x2−3.27x+8.39y = x ^ { 4 } + 1.5 x ^ { 3 } - 8.31 x ^ { 2 } - 3.27 x + 8.39y=x4+1.5x3−8.31x2−3.27x+8.39

Use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of the equation. Express the answer rounded to two decimal places. - y=x2+5x−1y = x ^ { 2 } + 5 x - 1y=x2+5x−1

Use a graphing utility to graph the inequality. - 2x+y−3≤02 x + y - 3 \leq 02x+y−3≤0

Use a graphing utility to graph the parametric equation. - x(t)=t2+2,y(t)=2t−1,−3≤t≤3x ( t ) = t ^ { 2 } + 2 , \quad y ( t ) = 2 t - 1 , \quad - 3 \leq t \leq 3x(t)=t2+2,y(t)=2t−1,−3≤t≤3

Find the length of the line segment. Assume that the endpoints of the segment have integer coordinates. --

Select a setting so that the given points will lie within the viewing rectangle. - (0,−4),(20,9),(80,−8)(0,-4),(20,9),(80,-8)(0,−4),(20,9),(80,−8)

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Filters

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places. - $y = x ^ { 3 } + 3 x ^ { 2 } - 5 x - 7$

For the equation, create a table, nd list points on the graph. $- 3 \leq x \leq 3 ,$ - $2 x + 3 y = 6$

Use a graphing utility to graph the polar equation. - $r \cos \theta = 2$

Use ZERO (or ROOT) to find the solutions to the equation. Round to two decimal places. - $x ^ { 2 } + 6 x - 11 = 0$

For the equation, create a table, nd list points on the graph. $- 3 \leq x \leq 3 ,$ - $y = x + 4$

Use INTERSECT to find the solution to the equation. Round to two decimal places, if necessary. - $3 ( x - 4 ) = 5 ( x - 5 )$

Use ZERO (or ROOT) to approximate the positive x-intercepts of the equation. Round to two decimal places. - $y = x ^ { 4 } + 1.5 x ^ { 3 } - 8.31 x ^ { 2 } - 3.27 x + 8.39$

Use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of the equation. Express the answer rounded to two decimal places. - $y = x ^ { 2 } + 5 x - 1$

Use a graphing utility to graph the inequality. - $2 x + y - 3 \leq 0$

Use a graphing utility to graph the parametric equation. - $x ( t ) = t ^ { 2 } + 2 , \quad y ( t ) = 2 t - 1 , \quad - 3 \leq t \leq 3$

Select a setting so that the given points will lie within the viewing rectangle. - $(0,-4),(20,9),(80,-8)$