Question 1

Evaluate the function for the given value of x.
-$$r ( x ) = 3 x , p ( x ) = x ^ { 2 } + 6 x , ( p - r ) ( x )$$

Accepted Answer

A)  $( p - r ) ( x ) = x ^ { 2 } - 3 x$ 
B)  $( p - r ) ( x ) = x ^ { 2 } + 9 x$ 
C)  $( p - r ) ( x ) = x ^ { 2 } + 18 x$ 
D)  $( p - r ) ( x ) = x ^ { 2 } + 3 x$ 
A)  $( p - r ) ( x ) = x ^ { 2 } - 3 x$ 
B)  $( p - r ) ( x ) = x ^ { 2 } + 9 x$ 
C)  $( p - r ) ( x ) = x ^ { 2 } + 18 x$ 
D)  $( p - r ) ( x ) = x ^ { 2 } + 3 x$

Question 2

Produce a rule for the function whose graph is shown.
-

Accepted Answer

A)  $m ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } + 3 & \text { for } x  1 \ - 2 & \text { for } x \leq 1 \end{array} \right.$ 
A)  $m ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } + 3 & \text { for } x  1 \ - 2 & \text { for } x \leq 1 \end{array} \right.$

Question 3

Solve the problem.
-Joey borrows $2,400 from his grandfather and pays the money back in monthly payments of $200. 
a. Write a linear function that represents the remaining money owed L(x) after x months.
b. Evaluate L(10) and interpret the meaning in the context of this problem.

Accepted Answer

A)  L(x) = 200x + 2,400; L(10) = 4,400, This represents the amount Joey has paid his grandfather after 10 months. 
B)  L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey still owes his grandfather after 10 months. 
C)  L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey has paid his grandfather after 10 months. 
D)  L(x) = 200x + 2,400; L(10) = 4,400, This represents the amount Joey still owes his grandfather after 10 months. 
A)  L(x) = 200x + 2,400; L(10) = 4,400, This represents the amount Joey has paid his grandfather after 10 months. 
B)  L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey still owes his grandfather after 10 months. 
C)  L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey has paid his grandfather after 10 months. 
D)  L(x) = 200x + 2,400; L(10) = 4,400, This represents the amount Joey still owes his grandfather after 10 months.

Question 4

Write the domain in interval notation.
-$$r ( x ) = x ^ { 2 } + 2 x - 35$$

Accepted Answer

A)  $( - \infty , - 8 ) \cup ( - 8 , \infty )$ 
B)  $( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5 , \infty )$ 
C)  $( - \infty , - 5 ) \cup ( - 5,7 ) \cup ( 7 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $( - \infty , - 8 ) \cup ( - 8 , \infty )$ 
B)  $( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5 , \infty )$ 
C)  $( - \infty , - 5 ) \cup ( - 5,7 ) \cup ( 7 , \infty )$ 
D)  $( - \infty , \infty )$

Question 5

Determine the average rate of change of the function on the given interval.
-$$f ( x ) = x ^ { 3 } + 3 \text { on } [ 2,3 ]$$

Accepted Answer

A)  $- 19$ 
B)  $- \frac { 19 } { 2 }$ 
C)  $\frac { 19 } { 2 }$ 
D)  19 
A)  $- 19$ 
B)  $- \frac { 19 } { 2 }$ 
C)  $\frac { 19 } { 2 }$ 
D)  19

Question 6

Evaluate the function for the indicated value, then simplify.
-$f ( x ) = - 2 x - 2$; find $f ( a - 1 )$, then simplify as much as possible.

Accepted Answer

A)  $a = 5$ 
B)  $- 2 a$ 
C)  $a$ 
D)  $- 2 a - 3$ 
A)  $a = 5$ 
B)  $- 2 a$ 
C)  $a$ 
D)  $- 2 a - 3$

Question 7

Solve the problem.
-The following figure represents the average hourly wage for employees of MegaMart from 1980 to 2005.  
Let $y$ represent the hourly wage and let $x$ represent the year, where $x = 0$ corresponds to the year $198 C$ $x = 1$ represents 1981 , and so on. Then the average wage can be approximated by the equation $y = 0.17 x + 3.02$, where $0 \leq x \leq 25$. Use the linear equation to approximate the average wage for the year 1,985 and compare it to the act wage of $\$ 3.75$ per hour.

Accepted Answer

A)  $\$ 3.02$ per hour; the calculated wage was $\$ 0.73$ less than the actual wage. 
B)  $\$ 3.87$ per hour; the calculated wage was $\$ 0.12$ more than the actual wage. 
C)  $\$ 3.02$ per hour; the calculated wage was $\$ 0.17$ more than the actual wage. 
D)  $\$ 4.72$ per hour; the calculated wage was $\$ 0.97$ more than the actual wage. 
A)  $\$ 3.02$ per hour; the calculated wage was $\$ 0.73$ less than the actual wage. 
B)  $\$ 3.87$ per hour; the calculated wage was $\$ 0.12$ more than the actual wage. 
C)  $\$ 3.02$ per hour; the calculated wage was $\$ 0.17$ more than the actual wage. 
D)  $\$ 4.72$ per hour; the calculated wage was $\$ 0.97$ more than the actual wage.

Question 8

Use transformations on the basic functions to write a rule y = f (x) that would produce the given graph.
-

Accepted Answer

A)  $f ( x ) = \frac { 1 } { x - 1 } - 2$ 
B)  $f ( x ) = \frac { 1 } { x - 1 } + 2$ 
C)  $f ( x ) = \frac { 1 } { x + 1 } + 2$ 
D)  $f ( x ) = \frac { 1 } { x + 1 } - 2$ 
A)  $f ( x ) = \frac { 1 } { x - 1 } - 2$ 
B)  $f ( x ) = \frac { 1 } { x - 1 } + 2$ 
C)  $f ( x ) = \frac { 1 } { x + 1 } + 2$ 
D)  $f ( x ) = \frac { 1 } { x + 1 } - 2$

Question 9

Choose the one alternative that best completes the statement or answers the question.
Plot the point on a rectangular coordinate system.
-$$A ( 2 , - 5 )$$

Accepted Answer

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

Question 10

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept.
-$3 x=3-y$

Accepted Answer

A)  $y = - 3 x + 3$
  
B)  $y = - 3 x - 3$
  
C)  $y = 3 x + 3$
  
D)  $y = 3 x - 3$
  
A)  $y = - 3 x + 3$
  
B)  $y = - 3 x - 3$
  
C)  $y = 3 x + 3$
  
D)  $y = 3 x - 3$

Question 11

A function g is given. Identify the parent function. Then use the steps for graphing multiple
transformations of functions to list, in order, the transformations applied to the parent function to obtain
the graph of g.
-$$g ( x ) = \frac { 1 } { 5 } \sqrt { x + 2.7 } + 2.6$$

Accepted Answer

A)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the right $2.7$ units, strech the graph vertically by a factor of 5 , and shift the graph downward by $2.6$ units. 
B)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the right $2.7$ units, shrink the graph vertically by a factor of $\frac { 1 } { 5 }$, and shift the graph downward by $2.6$ units. 
C)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the left $2.7$ units, strech the graph vertically by a factor of 5 , and shift the graph upward by $2.6$ units. 
D)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the left $2.7$ units, shrink the graph vertically by a factor of $\frac { 1 } { 5 }$, and shift the graph upward by $2.6$ units. 
A)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the right $2.7$ units, strech the graph vertically by a factor of 5 , and shift the graph downward by $2.6$ units. 
B)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the right $2.7$ units, shrink the graph vertically by a factor of $\frac { 1 } { 5 }$, and shift the graph downward by $2.6$ units. 
C)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the left $2.7$ units, strech the graph vertically by a factor of 5 , and shift the graph upward by $2.6$ units. 
D)  Parent function: $f ( x ) = \sqrt { x }$; Shift the graph of $f$ to the left $2.7$ units, shrink the graph vertically by a factor of $\frac { 1 } { 5 }$, and shift the graph upward by $2.6$ units.

Question 12

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.
-The line passes through the point $( - 4,1 )$ and has a slope of $\frac { 3 } { 2 }$.

Accepted Answer

A)  $y = \frac { 3 } { 2 } x - 4$ 
B)  $y = - \frac { 3 } { 2 } x + 7$ 
C)  $y = \frac { 3 } { 2 } x - 5$ 
D)  $y = \frac { 3 } { 2 } x + 7$ 
A)  $y = \frac { 3 } { 2 } x - 4$ 
B)  $y = - \frac { 3 } { 2 } x + 7$ 
C)  $y = \frac { 3 } { 2 } x - 5$ 
D)  $y = \frac { 3 } { 2 } x + 7$

Question 13

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.
-The line passes through $( - 12 , - 12 )$ and $( - 12 , - 4 )$.

Accepted Answer

A)  $y = - 12$ 
B)  $x = - 12$ 
C)  $y = - 12 x$ 
D)  $y = 12$ 
A)  $y = - 12$ 
B)  $x = - 12$ 
C)  $y = - 12 x$ 
D)  $y = 12$

Question 14

Compute the least-squares regression line for predicting the temperature from the chirp rate.
-The common cricket can be used as a crude thermometer. The colder the temperature, the slower the rate of chirping. The table below shows the average chirp rate of a cricket at various temperatures. $\begin{array}{cc}
\hline \begin{array}{c}
\text { Chirp Rate } \
\text { (chirps/second) }
\end{array} & \begin{array}{c}
\text { Temperature } \
\left({ }^{\circ} \mathrm{F}\right)
\end{array} \
\hline 3.8 & 71.2 \
2.3 & 52 \
2.2 & 48.9 \
1.1 & 34.5 \
1.5 & 53.8 \
1.2 & 42.9 \
\hline
\end{array}$

Accepted Answer

A)  $y \approx 11.09 + 28.18 x$ 
B)  $y \approx 13.59 + 28.18 x$ 
C)  $y \approx 28.18 + 11.09 x$ 
D)  $y \approx 28.18 + 13.59 x$ 
A)  $y \approx 11.09 + 28.18 x$ 
B)  $y \approx 13.59 + 28.18 x$ 
C)  $y \approx 28.18 + 11.09 x$ 
D)  $y \approx 28.18 + 13.59 x$

Question 15

Solve the problem.
-The table below shows the wind speed y (in mph) of a hurricane versus the barometric pressure x (in mb). $\begin{array}{|c|c|}
\hline \begin{array}{c}
\text { Barometric } \
\text { Pressure (mb) (x) }
\end{array} & \begin{array}{c}
\text { Wind } \
\text { Speed (mph) }(\mathbf{y})
\end{array} \
\hline 1,005 & 35 \
\hline 1,004 & 45 \
\hline 1,000 & 50 \
\hline 996 & 65 \
\hline 984 & 80 \
\hline 970 & 100 \
\hline 949 & 110 \
\hline 929 & 145 \
\hline 904 & 160 \
\hline
\end{array}$

a. Use the data in the table to find the least-squares regression line. Round the slope to 2 decimal places and the $y$-intercept to the nearest whole unit.
b. Use the model in part (a) to approximate the wind speed of a hurricane with a barometric pressure of $900 \mathrm { mb }$.

Accepted Answer

A)  a. $y = - 1.38 x + 1,395$; b. $155 \mathrm { mph }$ 
B)  a. $y = - 1.38 x + 1,395$; b. $153 \mathrm { mph }$ 
C)  a. $y = - 1.2 x + 1,251$; b. $171 \mathrm { mph }$ 
D)  a. $y = - 1.2 x + 1,251$; b. $155 \mathrm { mph }$ 
A)  a. $y = - 1.38 x + 1,395$; b. $155 \mathrm { mph }$ 
B)  a. $y = - 1.38 x + 1,395$; b. $153 \mathrm { mph }$ 
C)  a. $y = - 1.2 x + 1,251$; b. $171 \mathrm { mph }$ 
D)  a. $y = - 1.2 x + 1,251$; b. $155 \mathrm { mph }$

Question 16

An x-intercept of a graph has a y-coordinate________ .

Accepted Answer

The answer of An x-intercept of a graph has a...

Question 17

Estimate the x- and y-intercepts from the graph.
-

Accepted Answer

A)  $x$-int: $( 0 , - 3 ) , ( 0,5 )$
$y$-int: $( - 3.9,0 ) , ( 3.9,0 )$ 
B)  $x$-int: $( 0 , - 3.9 ) , ( 0,3.9 )$
$y$-int: $( - 3,0 ) , ( 5,0 )$ 
C)  $x$-int: $( - 3.9,0 ) , ( 3.9,0 )$
$y$-int: $( 0 , - 3 ) , ( 0,5 )$ 
D)  $x$-int: $( - 3,0 ) , ( 5,0 )$
$y$-int: $( 0 , - 3.9 ) , ( 0,3.9 )$ 
A)  $x$-int: $( 0 , - 3 ) , ( 0,5 )$
$y$-int: $( - 3.9,0 ) , ( 3.9,0 )$ 
B)  $x$-int: $( 0 , - 3.9 ) , ( 0,3.9 )$
$y$-int: $( - 3,0 ) , ( 5,0 )$ 
C)  $x$-int: $( - 3.9,0 ) , ( 3.9,0 )$
$y$-int: $( 0 , - 3 ) , ( 0,5 )$ 
D)  $x$-int: $( - 3,0 ) , ( 5,0 )$
$y$-int: $( 0 , - 3.9 ) , ( 0,3.9 )$

Question 18

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-An even function is symmetric with respect to the .

Accepted Answer

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

Question 19

Find an equation of the circle with the given characteristics.
-$( 0,12 )$ and radius $\sqrt { 6 }$

Accepted Answer

A)  $x ^ { 2 } + ( y + 12 ) ^ { 2 } = \sqrt { 6 }$ 
B)  $( y + 12 ) ^ { 2 } = 6$ 
C)  $( y - 12 ) ^ { 2 } = \sqrt { 6 }$ 
D)  $x ^ { 2 } + ( y - 12 ) ^ { 2 } = 6$ 
A)  $x ^ { 2 } + ( y + 12 ) ^ { 2 } = \sqrt { 6 }$ 
B)  $( y + 12 ) ^ { 2 } = 6$ 
C)  $( y - 12 ) ^ { 2 } = \sqrt { 6 }$ 
D)  $x ^ { 2 } + ( y - 12 ) ^ { 2 } = 6$

Question 20

Choose the one alternative that best completes the statement or answers the question.
Write the domain and range of the relation.
-

Accepted Answer

A)  Domain: $\{ - 3 , - 2,1,2,2 \}$; Range: $\{ - 5 , - 1,1,2,5 \}$ 
B)  Domain: $\{ - 3 , - 2,1,2 \}$; Range: $\{ - 5 , - 1,1,2,5 \}$ 
C)  Domain: $\{ - 5 , - 1,1,2,5 \}$; Range: $\{ - 3 , - 2,1,2 \}$ 
D)  Domain: $\{ - 5 , - 1,1,2,5 \}$; Range: $\{ - 3 , - 2,1,2,2 \}$ 
A)  Domain: $\{ - 3 , - 2,1,2,2 \}$; Range: $\{ - 5 , - 1,1,2,5 \}$ 
B)  Domain: $\{ - 3 , - 2,1,2 \}$; Range: $\{ - 5 , - 1,1,2,5 \}$ 
C)  Domain: $\{ - 5 , - 1,1,2,5 \}$; Range: $\{ - 3 , - 2,1,2 \}$ 
D)  Domain: $\{ - 5 , - 1,1,2,5 \}$; Range: $\{ - 3 , - 2,1,2,2 \}$

Evaluate the function for the given value of x. - $r ( x ) = 3 x , p ( x ) = x ^ { 2 } + 6 x , ( p - r ) ( x )$

Produce a rule for the function whose graph is shown. -

Solve the problem. -Joey borrows $2,400 from his grandfather and pays the money back in monthly payments of $200. a. Write a linear function that represents the remaining money owed L(x) after x months. b. Evaluate L(10) and interpret the meaning in the context of this problem.

Write the domain in interval notation. - $r ( x ) = x ^ { 2 } + 2 x - 35$

Determine the average rate of change of the function on the given interval. - $f ( x ) = x ^ { 3 } + 3 \text { on } [ 2,3 ]$

Evaluate the function for the indicated value, then simplify. - $f ( x ) = - 2 x - 2$ ; find $f ( a - 1 )$ , then simplify as much as possible.

Use transformations on the basic functions to write a rule y = f (x) that would produce the given graph. -

Choose the one alternative that best completes the statement or answers the question. Plot the point on a rectangular coordinate system. - $A ( 2 , - 5 )$

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. - $3 x=3-y$

A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g. - $g ( x ) = \frac { 1 } { 5 } \sqrt { x + 2.7 } + 2.6$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through the point $( - 4,1 )$ and has a slope of $\frac { 3 } { 2 }$ .

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through $( - 12 , - 12 )$ and $( - 12 , - 4 )$ .

An x-intercept of a graph has a y-coordinate________ .

Estimate the x- and y-intercepts from the graph. -

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -An even function is symmetric with respect to the .

Find an equation of the circle with the given characteristics. - $( 0,12 )$ and radius $\sqrt { 6 }$

Choose the one alternative that best completes the statement or answers the question. Write the domain and range of the relation. -

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Exam 2: Functions and Relations

Evaluate the function for the given value of x. - r(x)=3x,p(x)=x2+6x,(p−r)(x)r ( x ) = 3 x , p ( x ) = x ^ { 2 } + 6 x , ( p - r ) ( x )r(x)=3x,p(x)=x2+6x,(p−r)(x)

Produce a rule for the function whose graph is shown. -

Solve the problem. -Joey borrows $2,400 from his grandfather and pays the money back in monthly payments of $200. a. Write a linear function that represents the remaining money owed L(x) after x months. b. Evaluate L(10) and interpret the meaning in the context of this problem.

Write the domain in interval notation. - r(x)=x2+2x−35r ( x ) = x ^ { 2 } + 2 x - 35r(x)=x2+2x−35

Determine the average rate of change of the function on the given interval. - f(x)=x3+3 on [2,3]f ( x ) = x ^ { 3 } + 3 \text { on } [ 2,3 ]f(x)=x3+3 on [2,3]

Evaluate the function for the indicated value, then simplify. - f(x)=−2x−2f ( x ) = - 2 x - 2f(x)=−2x−2 ; find f(a−1)f ( a - 1 )f(a−1) , then simplify as much as possible.

Use transformations on the basic functions to write a rule y = f (x) that would produce the given graph. -

Choose the one alternative that best completes the statement or answers the question. Plot the point on a rectangular coordinate system. - A(2,−5)A ( 2 , - 5 )A(2,−5)

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. - 3x=3−y3 x=3-y3x=3−y

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through the point (−4,1)( - 4,1 )(−4,1) and has a slope of 32\frac { 3 } { 2 }23​ .

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through (−12,−12)( - 12 , - 12 )(−12,−12) and (−12,−4)( - 12 , - 4 )(−12,−4) .

An x-intercept of a graph has a y-coordinate________ .

Estimate the x- and y-intercepts from the graph. -

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -An even function is symmetric with respect to the .

Find an equation of the circle with the given characteristics. - (0,12)( 0,12 )(0,12) and radius 6\sqrt { 6 }6​

Choose the one alternative that best completes the statement or answers the question. Write the domain and range of the relation. -

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Evaluate the function for the given value of x. - $r ( x ) = 3 x , p ( x ) = x ^ { 2 } + 6 x , ( p - r ) ( x )$

Write the domain in interval notation. - $r ( x ) = x ^ { 2 } + 2 x - 35$

Determine the average rate of change of the function on the given interval. - $f ( x ) = x ^ { 3 } + 3 \text { on } [ 2,3 ]$

Evaluate the function for the indicated value, then simplify. - $f ( x ) = - 2 x - 2$ ; find $f ( a - 1 )$ , then simplify as much as possible.

Choose the one alternative that best completes the statement or answers the question. Plot the point on a rectangular coordinate system. - $A ( 2 , - 5 )$

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. - $3 x=3-y$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through the point $( - 4,1 )$ and has a slope of $\frac { 3 } { 2 }$ .

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through $( - 12 , - 12 )$ and $( - 12 , - 4 )$ .

Find an equation of the circle with the given characteristics. - $( 0,12 )$ and radius $\sqrt { 6 }$