Question 1

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = x ^ { 2 } - 6$$

Accepted Answer

A)  maximum; 0 
B)  maximum; -6 
C)  minimum; 0 
D)  minimum; -6 
A)  maximum; 0 
B)  maximum; -6 
C)  minimum; 0 
D)  minimum; -6

Question 2

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| 7 k - 9 | - 9 > - 5$$

Accepted Answer

A)  $\left( \frac { 5 } { 7 } , \frac { 13 } { 7 } \right)$
  
B)  $\left( \frac { 13 } { 7 } , \infty \right)$
  
C)  $\left( - \infty , \frac { 5 } { 7 } \right) \cup \left( \frac { 13 } { 7 } , \infty \right)$
  
D)  $\left( - \infty , \frac { 5 } { 7 } \right] \cup \left[ \frac { 13 } { 7 } , \infty \right)$
  
A)  $\left( \frac { 5 } { 7 } , \frac { 13 } { 7 } \right)$
  
B)  $\left( \frac { 13 } { 7 } , \infty \right)$
  
C)  $\left( - \infty , \frac { 5 } { 7 } \right) \cup \left( \frac { 13 } { 7 } , \infty \right)$
  
D)  $\left( - \infty , \frac { 5 } { 7 } \right] \cup \left[ \frac { 13 } { 7 } , \infty \right)$

Question 3

Determine the average rate of change for the function.
-$$h ( x ) = - \frac { 3 } { 4 } x - 3$$

Accepted Answer

A)  $- \frac { 3 } { 4 }$ 
B)  3 
C)  $\frac { 3 } { 4 }$ 
D)  $- 3$ 
A)  $- \frac { 3 } { 4 }$ 
B)  3 
C)  $\frac { 3 } { 4 }$ 
D)  $- 3$

Question 4

Graph the function. State whether it is increasing, decreasing, or constant..
-$$f ( x ) = \frac { 1 } { 2 } x - 2$$

Accepted Answer

A)  increasing
  
B)  increasing
  
C)  decreasing
  
D)  increasing
  
A)  increasing
  
B)  increasing
  
C)  decreasing
  
D)  increasing

Question 5

Solve the problem.
-The manufacturer of a CD player has found that the revenue $R$ (in dollars) is $R ( p ) = - 5 p ^ { 2 } + 1,460 p$, when the unit price is $p$ dollars. If the manufacturer sets the price $p$ to maximize revenue, what is the maximum revenue to the nearest whole dollar?

Accepted Answer

A)  $\$ 106,580$ 
B)  $\$ 426,320$ 
C)  $\$ 213,160$ 
D)  $\$ 852,640$ 
A)  $\$ 106,580$ 
B)  $\$ 426,320$ 
C)  $\$ 213,160$ 
D)  $\$ 852,640$

Question 6

Write the word or phrase that best completes each statement or answers the question.
-The one-day temperatures for 12 world cities along with their latitudes are shown in the table below. Make a
scatter diagram for the data. Describe what happens to the one-day temperatures as the latitude increases. $$\begin{array}{l}
\begin{array} { c | c | c } 
\text { City } & \text { Temperature (F) } & \text { Latitud } \
\hline \text { Oslo, Norway } & 30 ^ { \circ } & 59 ^ { \circ } \
\text { Seattle, WA } & 57 ^ { \circ } & 47 ^ { \circ } \
\text { Anchorage, AK } & 40 ^ { \circ } & 61 ^ { \circ } \
\text { Paris, France } & 61 ^ { \circ } & 48 ^ { \circ } \
\text { Vancouver, Canada } & 54 ^ { \circ } & 49 ^ { \circ } \
\text { London, England } & 48 ^ { \circ } & 51 ^ { \circ } \
\text { Tokyo, Japan } & 55 ^ { \circ } & 35 ^ { \circ } \
\text { Cairo, Egypt } & 82 ^ { \circ } & 30 ^ { \circ } \
\text { Mexico City, Mexico } & 84 ^ { \circ } & 19 ^ { \circ } \
\text { Miami, FL } & 81 ^ { \circ } & 25 ^ { \circ } \
\text { New Delhi, India } & 95 ^ { \circ } & 28 ^ { \circ } \
\text { Manila, Philippines } & 93 ^ { \circ } & 14 ^ { \circ }
\end{array}\
\text { Latitude (degrees) }
\end{array}$$  
$$\text { Temperature } ( \mathrm { F } ) ^ { \circ }$$

Accepted Answer

@#LAT-DLM&
@#IMG-DLM&
 Temperature (F)°
As the lat

Question 7

Graph the function using its vertex, axis of symmetry, and intercepts.
-$f(x)=-2 x^{2}-20 x-53$

Accepted Answer

A) 
vertex $ (-5,-3) $
intercept $ (0,-53) $
  
B) 
vertex $ (-5,-3) $
intercept $ \left(0,-\frac{31}{2}\right) $
  
C)  vertex $( 5 , - 3 )$
intercept $\left( 0 , - \frac { 31 } { 2 } \right)$
  
D)  vertex $( 5 , - 3 )$
intercept $( 0 , - 53 )$
  
A) 
vertex $ (-5,-3) $
intercept $ (0,-53) $
  
B) 
vertex $ (-5,-3) $
intercept $ \left(0,-\frac{31}{2}\right) $
  
C)  vertex $( 5 , - 3 )$
intercept $\left( 0 , - \frac { 31 } { 2 } \right)$
  
D)  vertex $( 5 , - 3 )$
intercept $( 0 , - 53 )$

Question 8

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$| x | < 4$

Accepted Answer

A)  $( - \infty , 4 ]$
  
B)  $( - \infty , - 4 ) \cup ( 4 , \infty )$
  
C) $( - 4,4 )$
  
D)  $[ - 4,4 ]$
  
A)  $( - \infty , 4 ]$
  
B)  $( - \infty , - 4 ) \cup ( 4 , \infty )$
  
C) $( - 4,4 )$
  
D)  $[ - 4,4 ]$

Question 9

Use the slope and y-intercept to graph the linear function.
-$g(x)=-2 x+1$

Accepted Answer

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

Question 10

Use the slope and y-intercept to graph the linear function.
-$p(x)=-x-4$

Accepted Answer

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

Question 11

Determine if the type of relation is linear, nonlinear, or none.
-

Accepted Answer

A)  nonlinear 
B)  none 
C)  linear 
A)  nonlinear 
B)  none 
C)  linear

Question 12

Solve the problem.
-You have 64 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Accepted Answer

A)  length: 48 feet, width: 16 feet 
B)  length: 16 feet, width: 16 feet 
C)  length: 32 feet, width: 32 feet 
D)  length: 32 feet, width: 16 feet 
A)  length: 48 feet, width: 16 feet 
B)  length: 16 feet, width: 16 feet 
C)  length: 32 feet, width: 32 feet 
D)  length: 32 feet, width: 16 feet

Question 13

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f(x)=\frac{2}{9} x^{2}+\frac{4}{9} x-1$

Accepted Answer

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

Question 14

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function.
-$$g ( x ) = 25 x ^ { 2 } + 30 x + 8$$

Accepted Answer

A)  $x = - \frac { 2 } { 25 } , x = - \frac { 4 } { 25 }$ 
B)  $x = \frac { 2 } { 5 } , x = \frac { 4 } { 5 }$ 
C)  $x = - \frac { 4 } { 25 } , x = \frac { 12 } { 25 }$ 
D)  $x = - \frac { 2 } { 5 } , x = - \frac { 4 } { 5 }$ 
A)  $x = - \frac { 2 } { 25 } , x = - \frac { 4 } { 25 }$ 
B)  $x = \frac { 2 } { 5 } , x = \frac { 4 } { 5 }$ 
C)  $x = - \frac { 4 } { 25 } , x = \frac { 12 } { 25 }$ 
D)  $x = - \frac { 2 } { 5 } , x = - \frac { 4 } { 5 }$

Question 15

Write the word or phrase that best completes each statement or answers the question.
-The following data represents the number of employees at a company at the start of each year since the company
began. $$\begin{array} { l | l c c c c c c } 
\text { month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { number } & 3 & 172 & 403 & 571 & 823 & 1061 & 1194
\end{array}$$ Using the line of best fit for the data set, predict the number of employees at the start of the 10th year.

Accepted Answer

The answer of Write the word or phrase that best...

Question 16

employees each year.
Choose the one alternative that best completes the statement or answers the question.
Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$f ( x ) = 3 x ^ { 2 } - 4 x - 7$$

Accepted Answer

A)  $x = \frac { 3 } { 7 } , x = - 1$ 
B)  $x = \frac { 7 } { 3 } , x = - 1$ 
C)  $x = \frac { 3 } { 7 } , x = 0$ 
D)  $x = \frac { 3 } { 7 } , x = 1$ 
A)  $x = \frac { 3 } { 7 } , x = - 1$ 
B)  $x = \frac { 7 } { 3 } , x = - 1$ 
C)  $x = \frac { 3 } { 7 } , x = 0$ 
D)  $x = \frac { 3 } { 7 } , x = 1$

Question 17

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| x + 2 | + 4 \geq 8$$

Accepted Answer

A)  $( - 6,2 )$
  
B)  $[ 2 , \infty )$
  
C)  $( - \infty , - 6 ] \cup [ 2 , \infty )$
  
D)  $[ - 6,2 ]$
  
A)  $( - 6,2 )$
  
B)  $[ 2 , \infty )$
  
C)  $( - \infty , - 6 ] \cup [ 2 , \infty )$
  
D)  $[ - 6,2 ]$

Question 18

Solve the problem.
-The owner of a video store has determined that the profits P of the store are approximately given by where x is the number of videos rented daily. Find the maximum profit to the nearest $$P ( x ) = - x ^ { 2 } + 150 x + 54$$ dollar.

Accepted Answer

A)  $5,625 
B)  $11,304 
C)  $11,250 
D)  $5,679 
A)  $5,625 
B)  $11,304 
C)  $11,250 
D)  $5,679

Question 19

Choose the one alternative that best completes the statement or answers the question.
Find the complex zeros of the quadratic function.
-$$g ( x ) = 4 x ^ { 2 } - x + 3$$

Accepted Answer

A)  $x = 1 \pm \sqrt { 47 }$ 
B)  $x = \frac { 1 } { 4 } \pm \frac { \sqrt { 47 } } { 4 } \mathrm { i }$ 
C)  $x = - \frac { 1 } { 4 } , x = \frac { 1 } { 3 }$ 
D)  $x = \frac { 1 } { 8 } \pm \frac { \sqrt { 47 } } { 8 } \mathrm { i }$ 
A)  $x = 1 \pm \sqrt { 47 }$ 
B)  $x = \frac { 1 } { 4 } \pm \frac { \sqrt { 47 } } { 4 } \mathrm { i }$ 
C)  $x = - \frac { 1 } { 4 } , x = \frac { 1 } { 3 }$ 
D)  $x = \frac { 1 } { 8 } \pm \frac { \sqrt { 47 } } { 8 } \mathrm { i }$

Question 20

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }$. During what interval of time will the rocket be higher than $58.8 \mathrm {~m}$ ?

Accepted Answer

A)  $0 < t < 2$ 
B)  $4 < t < 5$ 
C)  $3 < t < 4$ 
D)  $2 < t < 3$ 
A)  $0 < t < 2$ 
B)  $4 < t < 5$ 
C)  $3 < t < 4$ 
D)  $2 < t < 3$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } - 6$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 7 k - 9 | - 9 > - 5$

Determine the average rate of change for the function. - $h ( x ) = - \frac { 3 } { 4 } x - 3$

Graph the function. State whether it is increasing, decreasing, or constant.. - $f ( x ) = \frac { 1 } { 2 } x - 2$ $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2$

Solve the problem. -The manufacturer of a CD player has found that the revenue $R$ (in dollars) is $R ( p ) = - 5 p ^ { 2 } + 1,460 p$ , when the unit price is $p$ dollars. If the manufacturer sets the price $p$ to maximize revenue, what is the maximum revenue to the nearest whole dollar?

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=-2 x^{2}-20 x-53$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=-2 x^{2}-20 x-53$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | < 4$

Use the slope and y-intercept to graph the linear function. - $g(x)=-2 x+1$

Use the slope and y-intercept to graph the linear function. - $p(x)=-x-4$

Determine if the type of relation is linear, nonlinear, or none. -

Solve the problem. -You have 64 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 25 x ^ { 2 } + 30 x + 8$

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = 3 x ^ { 2 } - 4 x - 7$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x + 2 | + 4 \geq 8$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x + 2 | + 4 \geq 8$

Solve the problem. -The owner of a video store has determined that the profits P of the store are approximately given by where x is the number of videos rented daily. Find the maximum profit to the nearest $P ( x ) = - x ^ { 2 } + 150 x + 54$ dollar.

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - $g ( x ) = 4 x ^ { 2 } - x + 3$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }$ . During what interval of time will the rocket be higher than $58.8 \mathrm {~m}$ ?

Functions and Their Graphs

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

Graphing Utilities

Filters

Exam 2: Linear and Quadratic Functions

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - f(x)=x2−6f ( x ) = x ^ { 2 } - 6f(x)=x2−6

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣7k−9∣−9>−5| 7 k - 9 | - 9 > - 5∣7k−9∣−9>−5

Determine the average rate of change for the function. - h(x)=−34x−3h ( x ) = - \frac { 3 } { 4 } x - 3h(x)=−43​x−3

Graph the function. State whether it is increasing, decreasing, or constant.. - f(x)=12x−2f ( x ) = \frac { 1 } { 2 } x - 2f(x)=21​x−2

Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=−2x2−20x−53f(x)=-2 x^{2}-20 x-53f(x)=−2x2−20x−53

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x∣<4| x | < 4∣x∣<4

Use the slope and y-intercept to graph the linear function. - g(x)=−2x+1g(x)=-2 x+1g(x)=−2x+1

Use the slope and y-intercept to graph the linear function. - p(x)=−x−4p(x)=-x-4p(x)=−x−4

Determine if the type of relation is linear, nonlinear, or none. -

Solve the problem. -You have 64 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=29x2+49x−1f(x)=\frac{2}{9} x^{2}+\frac{4}{9} x-1f(x)=92​x2+94​x−1

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - g(x)=25x2+30x+8g ( x ) = 25 x ^ { 2 } + 30 x + 8g(x)=25x2+30x+8

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - f(x)=3x2−4x−7f ( x ) = 3 x ^ { 2 } - 4 x - 7f(x)=3x2−4x−7

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x+2∣+4≥8| x + 2 | + 4 \geq 8∣x+2∣+4≥8

Solve the problem. -The owner of a video store has determined that the profits P of the store are approximately given by where x is the number of videos rented daily. Find the maximum profit to the nearest P(x)=−x2+150x+54P ( x ) = - x ^ { 2 } + 150 x + 54P(x)=−x2+150x+54 dollar.

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - g(x)=4x2−x+3g ( x ) = 4 x ^ { 2 } - x + 3g(x)=4x2−x+3

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after ttt seconds is given by h=−9.8t2+49th = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }h=−9.8t2+49t . During what interval of time will the rocket be higher than 58.8 m58.8 \mathrm {~m}58.8 m ?

Functions and Their Graphs

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

Graphing Utilities

Filters

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } - 6$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 7 k - 9 | - 9 > - 5$

Determine the average rate of change for the function. - $h ( x ) = - \frac { 3 } { 4 } x - 3$

Graph the function. State whether it is increasing, decreasing, or constant.. - $f ( x ) = \frac { 1 } { 2 } x - 2$ $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2$

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=-2 x^{2}-20 x-53$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=-2 x^{2}-20 x-53$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | < 4$

Use the slope and y-intercept to graph the linear function. - $g(x)=-2 x+1$

Use the slope and y-intercept to graph the linear function. - $p(x)=-x-4$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 25 x ^ { 2 } + 30 x + 8$

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = 3 x ^ { 2 } - 4 x - 7$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x + 2 | + 4 \geq 8$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x + 2 | + 4 \geq 8$

Solve the problem. -The owner of a video store has determined that the profits P of the store are approximately given by where x is the number of videos rented daily. Find the maximum profit to the nearest $P ( x ) = - x ^ { 2 } + 150 x + 54$ dollar.

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - $g ( x ) = 4 x ^ { 2 } - x + 3$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }$ . During what interval of time will the rocket be higher than $58.8 \mathrm {~m}$ ?