Question 1

$y = x ^ { 3 } + x ^ { 2 } - 8 x - 7$ between  x=0  and  x=2

Accepted Answer

A)  -$\frac { 1 } { 6 }$ 
B)   -2 
C)   -28 
D)  $\frac { 1 } { 2 }$ 
A)  -$\frac { 1 } { 6 }$ 
B)   -2 
C)   -28 
D)  $\frac { 1 } { 2 }$

Question 2

Graph the equation.
-$-x=-9 y+2$

Accepted Answer

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

Question 3

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { l | c c c c c c c } 
\text { Number of Classes Missed } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { Average Final Exam Score } & 75 & 73 & 76 & 69 & 68 & 65 & 60
\end{array}$$ Does the table define the average final exam score as a function of the number of classes missed?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 4

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { r | r | r | r | r | r } 
\mathrm { x } & - 6 & - 6 & 1 & 4 & 8 \
\hline \mathrm { y } & 5 & 4 & 6 & 3 & 8
\end{array}$$ Does the table define x as a function of y?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 5

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$y = - 5 x + 9$$

Accepted Answer

A)  Slope $- 5 , y$-intercept $( 0,9 )$ 
B)  Slope 9 , y-intercept $( 0,5 )$ 
C)  Slope 5, y-intercept $( 0,9 )$ 
D)  Slope $9 , y$-intercept $( 0 , - 5 )$ 
A)  Slope $- 5 , y$-intercept $( 0,9 )$ 
B)  Slope 9 , y-intercept $( 0,5 )$ 
C)  Slope 5, y-intercept $( 0,9 )$ 
D)  Slope $9 , y$-intercept $( 0 , - 5 )$

Question 6

Graph the function with a graphing utility.
-$y=x^{3}+x^{2}+2 x-1$

Accepted Answer

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

Question 7

Provide an appropriate response.
-Describe the graph of the function $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } + 3$ if the domain is $\{ 3,4,5,6 \}$.

Accepted Answer

A)  The graph consists of the four points $( 3,3 ) , ( 4,3 ) , ( 5,3 )$, and $( 6,3 )$. 
B)  The graph consists of the four points $( 0,6 ) , ( 1,7 ) , ( 2,8 )$, and $( 3,9 )$. 
C)  The graph is a line through the four points $( 3,6 ) , ( 4,7 ) , ( 5,8 )$, and $( 6,9 )$. 
D)  The graph consists of the four points $( 3,6 ) , ( 4,7 ) , ( 5,8 )$, and $( 6,9 )$. 
A)  The graph consists of the four points $( 3,3 ) , ( 4,3 ) , ( 5,3 )$, and $( 6,3 )$. 
B)  The graph consists of the four points $( 0,6 ) , ( 1,7 ) , ( 2,8 )$, and $( 3,9 )$. 
C)  The graph is a line through the four points $( 3,6 ) , ( 4,7 ) , ( 5,8 )$, and $( 6,9 )$. 
D)  The graph consists of the four points $( 3,6 ) , ( 4,7 ) , ( 5,8 )$, and $( 6,9 )$.

Question 8

The mathematical model C(x) = 200x + 50,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 500 items?

Accepted Answer

A)  $250.00 
B)  $150,000 
C)  $0.50 
D)  $100,000 
A)  $250.00 
B)  $150,000 
C)  $0.50 
D)  $100,000

Question 9

If $y = f ( x )$, find $f ( - 2 )$.

Accepted Answer

A)  $- 1$ 
B)  1 
C)  $- 4$ 
D)  4 
A)  $- 1$ 
B)  1 
C)  $- 4$ 
D)  4

Question 10

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and
why the relationship is a function.
-The temperature t on a backyard thermometer at 5 pm on a given day x.

Accepted Answer

A)  Yes; x, t; there is one temperature t on any given day x at 5 pm. 
B)  No 
A)  Yes; x, t; there is one temperature t on any given day x at 5 pm. 
B)  No

Question 11

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( - 6 , - 1 ) , ( - 6,7 ) , ( 2 , - 8 ) , ( 6 , - 9 ) , ( 7,2 ) \}$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 12

Decide whether or not the arrow diagram defines a function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 13

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$3 \mathrm { x } = 15$$

Accepted Answer

A)  Slope undefined; no y-intercept 
B)  Slope undefined; $y$-intercept $( 0,5 )$ 
C)  Slope 0; no y-intercept 
D)  Slope 0; y-intercept $( 0,5 )$ 
A)  Slope undefined; no y-intercept 
B)  Slope undefined; $y$-intercept $( 0,5 )$ 
C)  Slope 0; no y-intercept 
D)  Slope 0; y-intercept $( 0,5 )$

Question 14

The following graph shows data for a recent train ride from New York to Toronto. At what rate did the train travel?

Accepted Answer

A)  60 miles per hour 
B)  50 miles per hour 
C)  120 miles per hour 
D)  65 miles per hour 
A)  60 miles per hour 
B)  50 miles per hour 
C)  120 miles per hour 
D)  65 miles per hour

Question 15

The table lists the monthly precipitation $\mathrm { P }$ in Salem, Missouri, where $x = 1$ corresponds to January and $x = 9$ corresponds to September.
$$\begin{array} { c | c | c | c | c | c | c | c | c | c } 
\mathrm { x } \text { (month) } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline \mathrm { P } \text { (in.) } & 1.2 & 1.5 & 0.6 & 1.3 & 2.3 & 2.1 & 1.6 & 0.7 & 1.4
\end{array}$$
 Determine the value of P during September.

Accepted Answer

A)  2.4 inches 
B)  1.7 inches 
C)  1.2 inches 
D)  1.4 inches 
A)  2.4 inches 
B)  1.7 inches 
C)  1.2 inches 
D)  1.4 inches

Question 16

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by $b = 34 - 0.5 t$ where t is the number of years since 2010. Find and interpret the t-intercept of the graph of this function.

Accepted Answer

A)  34; If this trend continues, the annual consumption of beef in this town will be zero pounds per person in the year 2078. 
B)  34; The annual consumption of beef in this town was zero pounds per person in 2010. 
C)  68; If this trend continues, the annual consumption of beef in this town will be zero pounds per person in the year 2078. 
D)  68; The annual consumption of beef in this town was 68 pounds per person in 2010. 
A)  34; If this trend continues, the annual consumption of beef in this town will be zero pounds per person in the year 2078. 
B)  34; The annual consumption of beef in this town was zero pounds per person in 2010. 
C)  68; If this trend continues, the annual consumption of beef in this town will be zero pounds per person in the year 2078. 
D)  68; The annual consumption of beef in this town was 68 pounds per person in 2010.

Question 17

Find the slope of the line.
-

Accepted Answer

A)  2 
B)  $- \frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  1 
A)  2 
B)  $- \frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  1

Question 18

State whether the graph is or is not that of a function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 19

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
-$$( 5,3 ) ; m = - \frac { 3 } { 8 }$$

Accepted Answer

A)  $y = - \frac { 8 } { 3 } x - \frac { 8 } { 39 }$ 
B)  $y = - \frac { 3 } { 8 } x + \frac { 8 } { 39 }$ 
C)  $y = - \frac { 3 } { 8 } x + \frac { 39 } { 8 }$ 
D)  $y = - \frac { 3 } { 8 } x - \frac { 39 } { 8 }$ 
A)  $y = - \frac { 8 } { 3 } x - \frac { 8 } { 39 }$ 
B)  $y = - \frac { 3 } { 8 } x + \frac { 8 } { 39 }$ 
C)  $y = - \frac { 3 } { 8 } x + \frac { 39 } { 8 }$ 
D)  $y = - \frac { 3 } { 8 } x - \frac { 39 } { 8 }$

Question 20

It costs $29 per hour plus a flat fee of $17 for a plumber to make a house call. What is an equation of the form y=mx+b for this situation?

Accepted Answer

A)  y=17x + 29 
B)  y=29x 
C)  y=29x + 17 
D)  y=17x 
A)  y=17x + 29 
B)  y=29x 
C)  y=29x + 17 
D)  y=17x

$y = x ^ { 3 } + x ^ { 2 } - 8 x - 7$ between x=0 and x=2

Graph the equation. - $-x=-9 y+2$

Determine whether or not the relationship shown in the table is a function. - Number of Classes Missed 1 2 3 4 5 6 7 Average Final Exam Score 75 73 76 69 68 65 60 Does the table define the average final exam score as a function of the number of classes missed?

Determine whether or not the relationship shown in the table is a function. - -6 -6 1 4 8 5 4 6 3 8 Does the table define x as a function of y?

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = - 5 x + 9$

Graph the function with a graphing utility. - $y=x^{3}+x^{2}+2 x-1$ $Graph the function with a graphing utility. - y=x^{3}+x^{2}+2 x-1$

Provide an appropriate response. -Describe the graph of the function $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } + 3$ if the domain is $\{ 3,4,5,6 \}$ .

The mathematical model C(x) = 200x + 50,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 500 items?

If $y = f ( x )$ , find $f ( - 2 )$ .

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The temperature t on a backyard thermometer at 5 pm on a given day x.

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 6 , - 1 ) , ( - 6,7 ) , ( 2 , - 8 ) , ( 6 , - 9 ) , ( 7,2 ) \}$

Decide whether or not the arrow diagram defines a function. -

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 \mathrm { x } = 15$

The following graph shows data for a recent train ride from New York to Toronto. At what rate did the train travel?

The table lists the monthly precipitation $\mathrm { P }$ in Salem, Missouri, where $x = 1$ corresponds to January and $x = 9$ corresponds to September. (month) 1 2 3 4 5 6 7 8 9 (in.) 1.2 1.5 0.6 1.3 2.3 2.1 1.6 0.7 1.4 Determine the value of P during September.

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by $b = 34 - 0.5 t$ where t is the number of years since 2010. Find and interpret the t-intercept of the graph of this function.

Find the slope of the line. -

State whether the graph is or is not that of a function. -

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( 5,3 ) ; m = - \frac { 3 } { 8 }$

It costs $29 per hour plus a flat fee of $17 for a plumber to make a house call. What is an equation of the form y=mx+b for this situation?

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 1: Functions, Graphs, and Models; Linear Functions

y=x3+x2−8x−7y = x ^ { 3 } + x ^ { 2 } - 8 x - 7y=x3+x2−8x−7 between x=0 and x=2

Graph the equation. - −x=−9y+2-x=-9 y+2−x=−9y+2

Determine whether or not the relationship shown in the table is a function. - Number of Classes Missed 1 2 3 4 5 6 7 Average Final Exam Score 75 73 76 69 68 65 60 Does the table define the average final exam score as a function of the number of classes missed?

Determine whether or not the relationship shown in the table is a function. - -6 -6 1 4 8 5 4 6 3 8 Does the table define x as a function of y?

Find the slope of the line (if it exists) and the y-intercept (if it exists). - y=−5x+9y = - 5 x + 9y=−5x+9

Graph the function with a graphing utility. - y=x3+x2+2x−1y=x^{3}+x^{2}+2 x-1y=x3+x2+2x−1

Provide an appropriate response. -Describe the graph of the function f(x)=x+3\mathrm { f } ( \mathrm { x } ) = \mathrm { x } + 3f(x)=x+3 if the domain is {3,4,5,6}\{ 3,4,5,6 \}{3,4,5,6} .

The mathematical model C(x) = 200x + 50,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 500 items?

If y=f(x)y = f ( x )y=f(x) , find f(−2)f ( - 2 )f(−2) .

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The temperature t on a backyard thermometer at 5 pm on a given day x.

Decide whether or not the set of ordered pairs defines a function. - {(−6,−1),(−6,7),(2,−8),(6,−9),(7,2)}\{ ( - 6 , - 1 ) , ( - 6,7 ) , ( 2 , - 8 ) , ( 6 , - 9 ) , ( 7,2 ) \}{(−6,−1),(−6,7),(2,−8),(6,−9),(7,2)}

Decide whether or not the arrow diagram defines a function. -

Find the slope of the line (if it exists) and the y-intercept (if it exists). - 3x=153 \mathrm { x } = 153x=15

The following graph shows data for a recent train ride from New York to Toronto. At what rate did the train travel?

The table lists the monthly precipitation P\mathrm { P }P in Salem, Missouri, where x=1x = 1x=1 corresponds to January and x=9x = 9x=9 corresponds to September. (month) 1 2 3 4 5 6 7 8 9 (in.) 1.2 1.5 0.6 1.3 2.3 2.1 1.6 0.7 1.4 Determine the value of P during September.

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by b=34−0.5tb = 34 - 0.5 tb=34−0.5t where t is the number of years since 2010. Find and interpret the t-intercept of the graph of this function.

Find the slope of the line. -

State whether the graph is or is not that of a function. -

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - (5,3);m=−38( 5,3 ) ; m = - \frac { 3 } { 8 }(5,3);m=−83​

It costs $29 per hour plus a flat fee of $17 for a plumber to make a house call. What is an equation of the form y=mx+b for this situation?

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

$y = x ^ { 3 } + x ^ { 2 } - 8 x - 7$ between x=0 and x=2

Graph the equation. - $-x=-9 y+2$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = - 5 x + 9$

Graph the function with a graphing utility. - $y=x^{3}+x^{2}+2 x-1$ $Graph the function with a graphing utility. - y=x^{3}+x^{2}+2 x-1$

Provide an appropriate response. -Describe the graph of the function $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } + 3$ if the domain is $\{ 3,4,5,6 \}$ .

If $y = f ( x )$ , find $f ( - 2 )$ .

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 6 , - 1 ) , ( - 6,7 ) , ( 2 , - 8 ) , ( 6 , - 9 ) , ( 7,2 ) \}$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 \mathrm { x } = 15$

The table lists the monthly precipitation $\mathrm { P }$ in Salem, Missouri, where $x = 1$ corresponds to January and $x = 9$ corresponds to September. (month) 1 2 3 4 5 6 7 8 9 (in.) 1.2 1.5 0.6 1.3 2.3 2.1 1.6 0.7 1.4 Determine the value of P during September.

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by $b = 34 - 0.5 t$ where t is the number of years since 2010. Find and interpret the t-intercept of the graph of this function.

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( 5,3 ) ; m = - \frac { 3 } { 8 }$