Question 1

Determine a viewing window that will provide a complete graph of the function.
-$$y = 3 x ^ { 3 } - 26 x ^ { 2 } + 18 x - 47$$

Accepted Answer

A)  $[ - 3,10 ]$ by $[ - 400,100 ]$ 
B)  $[ - 10,10 ]$ by $[ - 150,150 ]$ 
C)  $[ - 8,10 ]$ by $[ - 100,300 ]$ 
D)  $[ - 5,5 ]$ by $[ - 500,100 ]$ 
A)  $[ - 3,10 ]$ by $[ - 400,100 ]$ 
B)  $[ - 10,10 ]$ by $[ - 150,150 ]$ 
C)  $[ - 8,10 ]$ by $[ - 100,300 ]$ 
D)  $[ - 5,5 ]$ by $[ - 500,100 ]$

Question 2

Decide whether or not the equation defines y as a function of x.
-$x - y ^ { 2 } = - 8$

Accepted Answer

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

Question 3

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

Accepted Answer

A)  $y = - 3 x + 12$ 
B)  $y = - \frac { 1 } { 3 } x + 12$ 
C)  $y = - 3 x + \frac { 1 } { 12 }$ 
D)  $y = - 3 x - 12$ 
A)  $y = - 3 x + 12$ 
B)  $y = - \frac { 1 } { 3 } x + 12$ 
C)  $y = - 3 x + \frac { 1 } { 12 }$ 
D)  $y = - 3 x - 12$

Question 4

Find the average rate of change for the function over the given interval.
-$y = x ^ { 2 } + 8 x$ between $x = 7$ and $x = 9$

Accepted Answer

A)  $\frac { 16 } { 3 }$ 
B)  24 
C)  $\frac { 153 } { 2 }$ 
D)  17 
A)  $\frac { 16 } { 3 }$ 
B)  24 
C)  $\frac { 153 } { 2 }$ 
D)  17

Question 5

Write the equation of the line with the given conditions.
-passing through $( 3 , - 7 )$ and perpendicular to the line with equation $4 x - 5 y = - 23$

Accepted Answer

A)  $y = - \frac { 5 } { 4 } x - \frac { 13 } { 4 }$ 
B)  $y = - \frac { 4 } { 5 } x - \frac { 4 } { 5 }$ 
C)  $y = \frac { 5 } { 4 } x - \frac { 13 } { 4 }$ 
D)  $y = - \frac { 3 } { 5 } x - \frac { 23 } { 5 }$ 
A)  $y = - \frac { 5 } { 4 } x - \frac { 13 } { 4 }$ 
B)  $y = - \frac { 4 } { 5 } x - \frac { 4 } { 5 }$ 
C)  $y = \frac { 5 } { 4 } x - \frac { 13 } { 4 }$ 
D)  $y = - \frac { 3 } { 5 } x - \frac { 23 } { 5 }$

Question 6

Evaluate the function.
-$$\text { Given } f ( x ) = 2 x ^ { 2 } - 3 x - 3 , \text { find } f ( - 4 )$$

Accepted Answer

A)  44 
B)  26 
C)  1 
D)  41 
A)  44 
B)  26 
C)  1 
D)  41

Question 7

This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. State the domain of g. $$\begin{array} { r | c } 
\text { Month } & \text { Number } \
\hline \text { January } & 3500 \
\text { February } & 3557 \
\text { March } & 3541 \
\text { April } & 3562
\end{array}$$

Accepted Answer

A)  {3500, 3557, 3541, 3562} 
B)  {(January, 3500), (February, 3557), (March, 3541), (April, 3562)} 
C)  {(3500, January), (3557, February), (3541, March), (3562, April)} 
D)  {January, February, March, April} 
A)  {3500, 3557, 3541, 3562} 
B)  {(January, 3500), (February, 3557), (March, 3541), (April, 3562)} 
C)  {(3500, January), (3557, February), (3541, March), (3562, April)} 
D)  {January, February, March, April}

Question 8

The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk factor of 24 has a rate of return of
12)0%. What is the average rate of return per unit of risk?

Accepted Answer

A)  3.14% per unit risk 
B)  1.90% per unit risk 
C)  0.53% per unit risk 
D)  0.32% per unit risk 
A)  3.14% per unit risk 
B)  1.90% per unit risk 
C)  0.53% per unit risk 
D)  0.32% per unit risk

Question 9

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

Accepted Answer

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

Question 10

Find the average rate of change for the function over the given interval.
-$$y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10$$

Accepted Answer

A)  15 
B)  $- 5$ 
C)  1 
D)  5 
A)  15 
B)  $- 5$ 
C)  1 
D)  5

Question 11

A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3861 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses
Gallons sold as a function of price.

Accepted Answer

A)  G(p) = -19,180p + 30,729 
B)  G(p) = -19,180p + 30,696.8 
C)  G(p) = -19,180p + 30,713 
D)  G(p) = -19,180p + 30,691.2 
A)  G(p) = -19,180p + 30,729 
B)  G(p) = -19,180p + 30,696.8 
C)  G(p) = -19,180p + 30,713 
D)  G(p) = -19,180p + 30,691.2

Question 12

Graph the equation.
-$$y = 3 x + 2$$

Accepted Answer

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

Question 13

Find the slope of the line through the pair of points.
-$( - 5 , - 6 )$ and $( - 3,1 )$

Accepted Answer

A)  $- \frac { 7 } { 2 }$ 
B)  $\frac { 2 } { 7 }$ 
C)  $- \frac { 2 } { 7 }$ 
D)  $\frac { 7 } { 2 }$ 
A)  $- \frac { 7 } { 2 }$ 
B)  $\frac { 2 } { 7 }$ 
C)  $- \frac { 2 } { 7 }$ 
D)  $\frac { 7 } { 2 }$

Question 14

(-4,6) ; m=-4

Accepted Answer

A)   y=-4 x-11 
B)   y=-4 x-18 
C)   y=4 x-12 
D)   y=-4 x-10 
A)   y=-4 x-11 
B)   y=-4 x-18 
C)   y=4 x-12 
D)   y=-4 x-10

Question 15

Decide whether or not the equation defines y as a function of x.
-$y = 2 x ^ { 2 } + 2 x - 1$

Accepted Answer

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

Question 16

Graph the equation.
-

Accepted Answer

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

Question 17

Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 770. Find a linear function S(t), which fits this data,
And which expresses score as a function of time.

Accepted Answer

A)  $S ( t ) = - 3.75 t + 507.5$ 
B)  $S ( t ) = 3.75 \mathrm { t } + 507.5$ 
C)  $S ( t ) = 3.375 \mathrm { t } - 511.5$ 
D)  $S ( t ) = 3.375 t + 511.5$ 
A)  $S ( t ) = - 3.75 t + 507.5$ 
B)  $S ( t ) = 3.75 \mathrm { t } + 507.5$ 
C)  $S ( t ) = 3.375 \mathrm { t } - 511.5$ 
D)  $S ( t ) = 3.375 t + 511.5$

Question 18

Use the table to answer the question.
-$$\begin{array} { l | c | c | c | c | c | c | c } 
x & - 3 & 0 & 1 & 6 & 13 & 18 & 31 \
\hline y = g ( x ) & 3 & 9 & 11 & 21 & 35 & 45 & 71
\end{array}$$ Is g(6) an input or output of this function?

Accepted Answer

A)  Input 
B)  Output 
A)  Input 
B)  Output

Question 19

Find the slope of the line through the pair of points.
-$$( 7 , - 6 ) \text { and } ( 7 , - 1 )$$

Accepted Answer

A)  0 
B)  5 
C)  -5 
D)  Undefined 
A)  0 
B)  5 
C)  -5 
D)  Undefined

Question 20

Decide if the function is linear.
-$y = 2 x ^ { 2 } - 3$

Accepted Answer

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

Determine a viewing window that will provide a complete graph of the function. - $y = 3 x ^ { 3 } - 26 x ^ { 2 } + 18 x - 47$

Decide whether or not the equation defines y as a function of x. - $x - y ^ { 2 } = - 8$

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

Find the average rate of change for the function over the given interval. - $y = x ^ { 2 } + 8 x$ between $x = 7$ and $x = 9$

Write the equation of the line with the given conditions. -passing through $( 3 , - 7 )$ and perpendicular to the line with equation $4 x - 5 y = - 23$

Evaluate the function. - $\text { Given } f ( x ) = 2 x ^ { 2 } - 3 x - 3 , \text { find } f ( - 4 )$

This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. State the domain of g. Month Number January 3500 February 3557 March 3541 April 3562

The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk factor of 24 has a rate of return of 12)0%. What is the average rate of return per unit of risk?

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

Find the average rate of change for the function over the given interval. - $y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10$

A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3861 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses Gallons sold as a function of price.

Graph the equation. - $y = 3 x + 2$

Find the slope of the line through the pair of points. - $( - 5 , - 6 )$ and $( - 3,1 )$

(-4,6) ; m=-4

Decide whether or not the equation defines y as a function of x. - $y = 2 x ^ { 2 } + 2 x - 1$

Graph the equation. -

Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 770. Find a linear function S(t), which fits this data, And which expresses score as a function of time.

Use the table to answer the question. - x -3 0 1 6 13 18 31 y=g(x) 3 9 11 21 35 45 71 Is g(6) an input or output of this function?

Find the slope of the line through the pair of points. - $( 7 , - 6 ) \text { and } ( 7 , - 1 )$

Decide if the function is linear. - $y = 2 x ^ { 2 } - 3$

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

Determine a viewing window that will provide a complete graph of the function. - y=3x3−26x2+18x−47y = 3 x ^ { 3 } - 26 x ^ { 2 } + 18 x - 47y=3x3−26x2+18x−47

Decide whether or not the equation defines y as a function of x. - x−y2=−8x - y ^ { 2 } = - 8x−y2=−8

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - (3,3);m=−3( 3,3 ) ; m = - 3(3,3);m=−3

Find the average rate of change for the function over the given interval. - y=x2+8xy = x ^ { 2 } + 8 xy=x2+8x between x=7x = 7x=7 and x=9x = 9x=9

Write the equation of the line with the given conditions. -passing through (3,−7)( 3 , - 7 )(3,−7) and perpendicular to the line with equation 4x−5y=−234 x - 5 y = - 234x−5y=−23

Evaluate the function. - Given f(x)=2x2−3x−3, find f(−4)\text { Given } f ( x ) = 2 x ^ { 2 } - 3 x - 3 , \text { find } f ( - 4 ) Given f(x)=2x2−3x−3, find f(−4)

This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. State the domain of g. Month Number January 3500 February 3557 March 3541 April 3562

The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk factor of 24 has a rate of return of 12)0%. What is the average rate of return per unit of risk?

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

Find the average rate of change for the function over the given interval. - y=x2 between x=−5 and x=10y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10y=x2 between x=−5 and x=10

A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3861 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses Gallons sold as a function of price.

Graph the equation. - y=3x+2y = 3 x + 2y=3x+2

Find the slope of the line through the pair of points. - (−5,−6)( - 5 , - 6 )(−5,−6) and (−3,1)( - 3,1 )(−3,1)

(-4,6) ; m=-4

Decide whether or not the equation defines y as a function of x. - y=2x2+2x−1y = 2 x ^ { 2 } + 2 x - 1y=2x2+2x−1

Graph the equation. -

Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 770. Find a linear function S(t), which fits this data, And which expresses score as a function of time.

Use the table to answer the question. - x -3 0 1 6 13 18 31 y=g(x) 3 9 11 21 35 45 71 Is g(6) an input or output of this function?

Find the slope of the line through the pair of points. - (7,−6) and (7,−1)( 7 , - 6 ) \text { and } ( 7 , - 1 )(7,−6) and (7,−1)

Decide if the function is linear. - y=2x2−3y = 2 x ^ { 2 } - 3y=2x2−3

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

Determine a viewing window that will provide a complete graph of the function. - $y = 3 x ^ { 3 } - 26 x ^ { 2 } + 18 x - 47$

Decide whether or not the equation defines y as a function of x. - $x - y ^ { 2 } = - 8$

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

Find the average rate of change for the function over the given interval. - $y = x ^ { 2 } + 8 x$ between $x = 7$ and $x = 9$

Write the equation of the line with the given conditions. -passing through $( 3 , - 7 )$ and perpendicular to the line with equation $4 x - 5 y = - 23$

Evaluate the function. - $\text { Given } f ( x ) = 2 x ^ { 2 } - 3 x - 3 , \text { find } f ( - 4 )$

Find the average rate of change for the function over the given interval. - $y = x ^ { 2 } \text { between } x = - 5 \text { and } x = 10$

Graph the equation. - $y = 3 x + 2$

Find the slope of the line through the pair of points. - $( - 5 , - 6 )$ and $( - 3,1 )$

Decide whether or not the equation defines y as a function of x. - $y = 2 x ^ { 2 } + 2 x - 1$

Find the slope of the line through the pair of points. - $( 7 , - 6 ) \text { and } ( 7 , - 1 )$

Decide if the function is linear. - $y = 2 x ^ { 2 } - 3$