Question 1

Find the domain and range for the function.
-

Accepted Answer

A)  D: $\{ - 4 , - 3,0,1,2,3 \} ;$ R: $\{ - 5 , - 2,3,5 \}$ 
B)  D: $\{ - 5 , - 2,3,5 \} ;$ R: $\{ - 4 , - 3,1,2,3 \}$ 
C)  D: $\{ - 4 , - 3,1,2,3 \} ;$ R: $\{ - 5 , - 2,3,5 \}$ 
D)  D: $\{ - 5 , - 2,3,5 \} ; R : \{ - 4 , - 3,0,1,2,3 \}$ 
A)  D: $\{ - 4 , - 3,0,1,2,3 \} ;$ R: $\{ - 5 , - 2,3,5 \}$ 
B)  D: $\{ - 5 , - 2,3,5 \} ;$ R: $\{ - 4 , - 3,1,2,3 \}$ 
C)  D: $\{ - 4 , - 3,1,2,3 \} ;$ R: $\{ - 5 , - 2,3,5 \}$ 
D)  D: $\{ - 5 , - 2,3,5 \} ; R : \{ - 4 , - 3,0,1,2,3 \}$

Question 2

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. Find g(March). $$\begin{array} { r | c } 
\text { Month } & \text { Number } \
\hline \text { January } & 4000 \
\text { February } & 4057 \
\text { March } & 4041 \
\text { April } & 4062
\end{array}$$

Accepted Answer

A)  4057 meals 
B)  4000 meals 
C)  4041 meals 
D)  4062 meals 
A)  4057 meals 
B)  4000 meals 
C)  4041 meals 
D)  4062 meals

Question 3

Write the equation of the line using the information given about its graph.
-Slope $- \frac { 8 } { 5 } , \mathrm { y }$-intercept $\frac { 36 } { 5 }$

Accepted Answer

A)  $y = - \frac { 8 } { 5 } x + \frac { 36 } { 5 }$ 
B)  $y = \frac { 8 } { 5 } x + \frac { 36 } { 5 }$ 
C)  $y = - \frac { 8 } { 5 } x - \frac { 36 } { 5 }$ 
D)  $y = \frac { 8 } { 5 } x - \frac { 36 } { 5 }$ 
A)  $y = - \frac { 8 } { 5 } x + \frac { 36 } { 5 }$ 
B)  $y = \frac { 8 } { 5 } x + \frac { 36 } { 5 }$ 
C)  $y = - \frac { 8 } { 5 } x - \frac { 36 } { 5 }$ 
D)  $y = \frac { 8 } { 5 } x - \frac { 36 } { 5 }$

Question 4

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.
-$$5 x - 20 y = 20$$

Accepted Answer

A)  $x : 1 ; y : - 4$
  
B)  $x : - 4 ; y : 1$
  
C)  $\mathrm { x } : 4 ; \mathrm { y } : - 1$
  
D)  $\mathrm { x } : - 1 ; \mathrm { y } : 4$
  
A)  $x : 1 ; y : - 4$
  
B)  $x : - 4 ; y : 1$
  
C)  $\mathrm { x } : 4 ; \mathrm { y } : - 1$
  
D)  $\mathrm { x } : - 1 ; \mathrm { y } : 4$

Question 5

A cellular phone company determines a monthly bill from the x number of minutes of usage. The amount of the bill, B(x), (in dollars) is given by the function: B(x) = 29.95 + 0.11x. Determine the bill of a customer who uses
Her cellular phone 32.00 minutes during the month.

Accepted Answer

A)  $33.47 
B)  $3.52 
C)  $961.92 
D)  $32.00 
A)  $33.47 
B)  $3.52 
C)  $961.92 
D)  $32.00

Question 6

Write the equation of the line using the information given about its graph.
-Slope $- \frac { 2 } { 7 } , \mathrm { y }$-intercept 5

Accepted Answer

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

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

Question 8

Find the average rate of change for the function over the given interval.
-$y = 6 x ^ { 3 }$ between $x = - 1$ and $x = 1$

Accepted Answer

A)  $- 6$ 
B)  6 
C)  12 
D)  0 
A)  $- 6$ 
B)  6 
C)  12 
D)  0

Question 9

Write the equation of the line using the information given about its graph.
-Slope $\frac { 1 } { 2 } , y$-intercept 1

Accepted Answer

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

Question 10

Find the slope of the line.
-

Accepted Answer

A)  $- 3$ 
B)  3 
C)  0 
D)  undefined 
A)  $- 3$ 
B)  3 
C)  0 
D)  undefined

Question 11

Decide if the function is linear.
-$4 x + 2 y = 3$

Accepted Answer

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

Question 12

Write the equation of the line using the information given about its graph.
-Slope $\frac { 2 } { 5 } , y$-intercept 3

Accepted Answer

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

Question 13

Write the equation of the line using the information given about its graph.
-Slope $- \frac { 2 } { 5 } , \mathrm { y }$-intercept 6

Accepted Answer

A)  $y = - \frac { 2 } { 5 } x - 6$ 
B)  $y = \frac { 2 } { 5 } x - 6$ 
C)  $y = \frac { 2 } { 5 } x + 6$ 
D)  $y = - \frac { 2 } { 5 } x + 6$ 
A)  $y = - \frac { 2 } { 5 } x - 6$ 
B)  $y = \frac { 2 } { 5 } x - 6$ 
C)  $y = \frac { 2 } { 5 } x + 6$ 
D)  $y = - \frac { 2 } { 5 } x + 6$

Question 14

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

Accepted Answer

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

Question 15

Graph the equation.
-$$- 5 x - y = 0$$

Accepted Answer

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

Question 16

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( - 3 , - 3 ) , ( - 1,5 ) , ( 4 , - 7 ) , ( 5,3 ) \}$

Accepted Answer

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

Question 17

Provide an appropriate response.
-$\text { To find the } x \text {-intercept of a line we let } - = 0 \text { and solve for ــــ}$

Accepted Answer

The answer of Provide an appropriate response.
-\(\text { To find...

Question 18

A moving firm charges a flat fee of $\$ 45$ plus $\$ 40$ per hour. Let $y$ be the cost in dollars of using the moving firm for $x$ hours. Find the slope-intercept form of the equation.

Accepted Answer

A)  $y = 40 x - 45$ 
B)  $y = 45 x + 40$ 
C)  $y = 40 x + 45$ 
D)  $y = 45 x - 40$ 
A)  $y = 40 x - 45$ 
B)  $y = 45 x + 40$ 
C)  $y = 40 x + 45$ 
D)  $y = 45 x - 40$

Question 19

Rate of change  -6, y=-8  when  x=0

Accepted Answer

A)   y=-6 x-8 
B)   y=-6 x+6 
C)   y=-6 x+8 
D)   y=-8 x-6 
A)   y=-6 x-8 
B)   y=-6 x+6 
C)   y=-6 x+8 
D)   y=-8 x-6

Question 20

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and
why the relationship is a function.
-Addy's height h on the first day d of school throughout elementary school.

Accepted Answer

A)  No 
B)  Yes; d, h; there is one height for each school year. 
A)  No 
B)  Yes; d, h; there is one height for each school year.

Find the domain and range for the function. -

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. Find g(March). Month Number January 4000 February 4057 March 4041 April 4062

Write the equation of the line using the information given about its graph. -Slope $- \frac { 8 } { 5 } , \mathrm { y }$ -intercept $\frac { 36 } { 5 }$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $5 x - 20 y = 20$

A cellular phone company determines a monthly bill from the x number of minutes of usage. The amount of the bill, B(x), (in dollars) is given by the function: B(x) = 29.95 + 0.11x. Determine the bill of a customer who uses Her cellular phone 32.00 minutes during the month.

Write the equation of the line using the information given about its graph. -Slope $- \frac { 2 } { 7 } , \mathrm { y }$ -intercept 5

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 range of g. Month Number January 3500 February 3557 March 3541 April 3562

Find the average rate of change for the function over the given interval. - $y = 6 x ^ { 3 }$ between $x = - 1$ and $x = 1$

Write the equation of the line using the information given about its graph. -Slope $\frac { 1 } { 2 } , y$ -intercept 1

Find the slope of the line. -

Decide if the function is linear. - $4 x + 2 y = 3$

Write the equation of the line using the information given about its graph. -Slope $\frac { 2 } { 5 } , y$ -intercept 3

Write the equation of the line using the information given about its graph. -Slope $- \frac { 2 } { 5 } , \mathrm { y }$ -intercept 6

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

Graph the equation. - $- 5 x - y = 0$

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3 , - 3 ) , ( - 1,5 ) , ( 4 , - 7 ) , ( 5,3 ) \}$

Provide an appropriate response. - $\text { To find the } x \text {-intercept of a line we let } - = 0 \text { and solve for ــــ}$

A moving firm charges a flat fee of $\$ 45$ plus $\$ 40$ per hour. Let $y$ be the cost in dollars of using the moving firm for $x$ hours. Find the slope-intercept form of the equation.

Rate of change -6, y=-8 when x=0

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -Addy's height h on the first day d of school throughout elementary school.

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

Find the domain and range for the function. -

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. Find g(March). Month Number January 4000 February 4057 March 4041 April 4062

Write the equation of the line using the information given about its graph. -Slope −85,y- \frac { 8 } { 5 } , \mathrm { y }−58​,y -intercept 365\frac { 36 } { 5 }536​

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - 5x−20y=205 x - 20 y = 205x−20y=20

A cellular phone company determines a monthly bill from the x number of minutes of usage. The amount of the bill, B(x), (in dollars) is given by the function: B(x) = 29.95 + 0.11x. Determine the bill of a customer who uses Her cellular phone 32.00 minutes during the month.

Write the equation of the line using the information given about its graph. -Slope −27,y- \frac { 2 } { 7 } , \mathrm { y }−72​,y -intercept 5

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 range of g. Month Number January 3500 February 3557 March 3541 April 3562

Find the average rate of change for the function over the given interval. - y=6x3y = 6 x ^ { 3 }y=6x3 between x=−1x = - 1x=−1 and x=1x = 1x=1

Write the equation of the line using the information given about its graph. -Slope 12,y\frac { 1 } { 2 } , y21​,y -intercept 1

Find the slope of the line. -

Decide if the function is linear. - 4x+2y=34 x + 2 y = 34x+2y=3

Write the equation of the line using the information given about its graph. -Slope 25,y\frac { 2 } { 5 } , y52​,y -intercept 3

Write the equation of the line using the information given about its graph. -Slope −25,y- \frac { 2 } { 5 } , \mathrm { y }−52​,y -intercept 6

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

Graph the equation. - −5x−y=0- 5 x - y = 0−5x−y=0

Decide whether or not the set of ordered pairs defines a function. - {(−3,−3),(−1,5),(4,−7),(5,3)}\{ ( - 3 , - 3 ) , ( - 1,5 ) , ( 4 , - 7 ) , ( 5,3 ) \}{(−3,−3),(−1,5),(4,−7),(5,3)}

Provide an appropriate response. - To find the x-intercept of a line we let −=0 and solve for ــــ\text { To find the } x \text {-intercept of a line we let } - = 0 \text { and solve for ــــ} To find the x-intercept of a line we let −=0 and solve for ــــ

A moving firm charges a flat fee of $45\$ 45$45 plus $40\$ 40$40 per hour. Let yyy be the cost in dollars of using the moving firm for xxx hours. Find the slope-intercept form of the equation.

Rate of change -6, y=-8 when x=0

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -Addy's height h on the first day d of school throughout elementary school.

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

Write the equation of the line using the information given about its graph. -Slope $- \frac { 8 } { 5 } , \mathrm { y }$ -intercept $\frac { 36 } { 5 }$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $5 x - 20 y = 20$

Write the equation of the line using the information given about its graph. -Slope $- \frac { 2 } { 7 } , \mathrm { y }$ -intercept 5

Find the average rate of change for the function over the given interval. - $y = 6 x ^ { 3 }$ between $x = - 1$ and $x = 1$

Write the equation of the line using the information given about its graph. -Slope $\frac { 1 } { 2 } , y$ -intercept 1

Decide if the function is linear. - $4 x + 2 y = 3$

Write the equation of the line using the information given about its graph. -Slope $\frac { 2 } { 5 } , y$ -intercept 3

Write the equation of the line using the information given about its graph. -Slope $- \frac { 2 } { 5 } , \mathrm { y }$ -intercept 6

Graph the equation. - $- 5 x - y = 0$

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3 , - 3 ) , ( - 1,5 ) , ( 4 , - 7 ) , ( 5,3 ) \}$

Provide an appropriate response. - $\text { To find the } x \text {-intercept of a line we let } - = 0 \text { and solve for ــــ}$

A moving firm charges a flat fee of $\$ 45$ plus $\$ 40$ per hour. Let $y$ be the cost in dollars of using the moving firm for $x$ hours. Find the slope-intercept form of the equation.