Question 1

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (7, 13) , endpoint (10, 9)

Accepted Answer

A)   (18, 3) 
B)   (16, 1) 
C)   (4, 5) 
D)   (4, 17)

Question 2

Write all linear equations in slope-intercept form.
-In a lab experiment 8 grams of acid were produced in 30 minutes and 18 grams in 34 minutes. Find a linear equation that models the number of grams produced in x minutes.

Accepted Answer

A)    y=x+22y = x + 22y=x+22 
B)    y=52x+67y = \frac { 5 } { 2 } x + 67y=25​x+67 
C)    y=25x−167y = \frac { 2 } { 5 } x - \frac { 1 } { 67 }y=52​x−671​ 
D)    y=52x−67y = \frac { 5 } { 2 } x - 67y=25​x−67

Question 3

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
- h(x) =−4xh(x) =-4 xh(x) =−4x

Accepted Answer

A)    D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty )  , \mathrm { R } = ( - \infty , \infty ) D=(−∞,∞) ,R=(−∞,∞)  
B)    D=(−∞,∞) ,R=(−∞,∞) D = ( - \infty , \infty )  , \quad R = ( - \infty , \infty ) D=(−∞,∞) ,R=(−∞,∞)  
C)    D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty )  , \mathrm { R } = ( - \infty , \infty ) D=(−∞,∞) ,R=(−∞,∞)  
D)    D=(−∞,∞) ,R=(−∞,∞) D = ( - \infty , \infty )  , R = ( - \infty , \infty ) D=(−∞,∞) ,R=(−∞,∞)

Question 4

Graph the equation by determining the missing values needed to plot the ordered pairs.
- y+x=4;(1,) ,(4,) ,(3,) y + x = 4 ; ( 1 , \quad )  , ( 4 , \quad )  , ( 3 , \quad ) y+x=4;(1,) ,(4,) ,(3,)

Accepted Answer

A)  
B)  
C)  
D)

Question 5

Write an equation for the line described. Write the equation in the form specified.
-perpendicular to  −8x+7y=8- 8 x + 7 y = 8−8x+7y=8 , through  (−8,8) ( - 8,8 ) (−8,8)  ; slope-intercept form

Accepted Answer

A)    y=−87x−87y = - \frac { 8 } { 7 } x - \frac { 8 } { 7 }y=−78​x−78​ 
B)    y=78x+1y = \frac { 7 } { 8 } x + 1y=87​x+1 
C)    y=−87x−87y = - \frac { 8 } { 7 } x - \frac { 8 } { 7 }y=−78​x−78​ .
D)    y=−78x+1y = - \frac { 7 } { 8 } x + 1y=−87​x+1

Question 6

Determine whether the three points are the vertices of a right triangle.
-(-6, -6) , (0, -4) , (6, -11)

Accepted Answer

A)   Yes
B)   No

Question 7

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of
these.
- y=−6x3+2xy = - 6 x ^ { 3 } + 2 xy=−6x3+2x

Accepted Answer

A)   origin only
B)    yyy -axis only
C)    xxx -axis,  yyy -axis, origin
D)    xxx -axis only

Question 8

Find the requested function value.
-Find  (f∘g) (−9) ( f \circ g )  ( - 9 ) (f∘g) (−9)   when  f(x) =9x−2f ( x )  = 9 x - 2f(x) =9x−2  and  g(x) =−4x2+6x+7g ( x )  = - 4 x ^ { 2 } + 6 x + 7g(x) =−4x2+6x+7

Accepted Answer

A)    −3341- 3341−3341 
B)    −101- 101−101 
C)    −28,047- 28,047−28,047 
D)    −159- 159−159

Question 9

Graph the function.
- g(x) =14∣x−5∣−6g ( x )  = \frac { 1 } { 4 } | x - 5 | - 6g(x) =41​∣x−5∣−6

Accepted Answer

A)  
B)  
C)  
D)

Question 10

Describe how the graph of the equation relates to the graph of y  y=x2y = x ^ { 2 }y=x2 
- f(x) =−(x+7) 2f ( x )  = - ( x + 7 )  ^ { 2 }f(x) =−(x+7) 2

Accepted Answer

A)   a translation 7 units up and a reflection across the  xxx -axis
B)   a translation 7 units to the left and a reflection across the  xxx -axis
C)   a translation 7 units to the right and a reflection across the  xxx -axis
D)   a translation 7 units to the right and a reflection across the  yyy -axis

Question 11

Graph the point symmetric to the given point.
-  Plot the point (−8,0) , then plot the point that is symmetric to (−8,0)  with respect to the x-axis. 	ext { Plot the point } ( - 8,0 )  	ext {, then plot the point that is symmetric to } ( - 8,0 )  	ext { with respect to the } x 	ext {-axis. } Plot the point (−8,0) , then plot the point that is symmetric to (−8,0)  with respect to the x-axis.

Accepted Answer

A)  
B)  
C)  
D)

Question 12

Graph the equation by determining the missing values needed to plot the ordered pairs.
- x+3y=6;(0,) ,(,0) ,(1,) ,(,1) x + 3 y = 6 ; ( 0 , \quad )  , ( , 0 )  , ( 1 , \quad )  , ( , 1 ) x+3y=6;(0,) ,(,0) ,(1,) ,(,1)

Accepted Answer

A)  
B)  
C)  
D)

Question 13

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18-22)  will consume from year 0 to year 10.
B(x)  gives the number of candy bars for boys, G(x)  gives the number of candy bars for girls, and T(x)  gives the total
-Use the slopes of the line segments to decide in which period (0-5 or 5-10)  the number of candy bars per week increased more rapidly.

Accepted Answer

A)   The number of candy bars increased at the same rate in both periods
B)   5-10
C)   0-5

Question 14

Describe the transformations and give the equation for the graph.
-

Accepted Answer

A)   It is the graph of  f(x) =∣x∣f ( x )  = | x |f(x) =∣x∣  stretched vertically by a factor of 5 and translated 3 units down. The equation is  y=15∣x∣+3y = \frac { 1 } { 5 } | x | + 3y=51​∣x∣+3 
B)   It is the graph of  f(x) =∣x∣\mathrm { f } ( \mathrm { x } )  = | \mathrm { x } |f(x) =∣x∣  shrunken vertically by a factor of 5 and translated 3 units down. The equation is  y=5∣x∣+3y = 5 | x | + 3y=5∣x∣+3 
C)   It is the graph of  f(x) =∣x∣\mathrm { f } ( \mathrm { x } )  = | \mathrm { x } |f(x) =∣x∣  shrunken vertically by a factor of 5 and translated 3 units down. The equation is  y=15∣x∣−3y = \frac { 1 } { 5 } | x | - 3y=51​∣x∣−3 
D)   It is the graph of  f(x) =∣x∣f ( x )  = | x |f(x) =∣x∣  stretched vertically by a factor of 5 and translated 3 units down. The equation is  y=5∣x∣−3y = 5 | x | - 3y=5∣x∣−3

Question 15

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown.
Use a graphing calculator to solve the linear equation.
- −9x+2+7x=−2x+7- 9 x + 2 + 7 x = - 2 x + 7−9x+2+7x=−2x+7

Accepted Answer

A)    {5}\{ 5 \}{5} 
B)   all real numbers
C)    ∅\varnothing∅ 
D)    {−2}\{ - 2 \}{−2}

Question 16

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale
on the y-axis.
-

Accepted Answer

A)   undefined
B)   2
C)   0
D)   -2

Question 17

Graph the equation by plotting points.
- y=x3+5y=x^{3}+5y=x3+5

Accepted Answer

A)  
B)   
C)  
D)

Question 18

The figure below shows the graph of a function y = f(x) . Use this graph to
-  Sketch the graph of y=f(x−3) . 	ext { Sketch the graph of } y = f ( x - 3 )  	ext {. } Sketch the graph of y=f(x−3) .

Accepted Answer

A)  
B)  
C)  
D)

Question 19

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18-22)  will consume from year 0 to year 10.
B(x)  gives the number of candy bars for boys, G(x)  gives the number of candy bars for girls, and T(x)  gives the total
-The volume of water added to a circular drum of radius  rrr  is given by  VW=30tV _ { W } = 30 tVW​=30t , where  VWV _ { W }VW​  is volume in cu  ft\mathrm { ft }ft  and  t\mathrm { t }t  is time in sec. Find the depth of water in a drum of radius  5ft5 \mathrm { ft }5ft  after adding water for  17sec17 \mathrm { sec }17sec . (Round result to one decimal place.)

Accepted Answer

A)    13.0ft13.0 \mathrm { ft }13.0ft 
B)    20.4ft20.4 \mathrm { ft }20.4ft 
C)    2.5ft2.5 \mathrm { ft }2.5ft 
D)    6.5ft6.5 \mathrm { ft }6.5ft

Question 20

Graph the function.
-A video rental company charges  $5\$ 5$5  per day for renting a video tape, and then  $4\$ 4$4  per day after the first. Use the greatest integer function and write an expression for renting a video tape for  x\mathrm { x }x  days.

Accepted Answer

A)    y+5=4[x]y + 5 = 4 [ x ]y+5=4[x] 
B)    y=4x+5y = 4 x + 5y=4x+5 
C)    y=4⟦x−1]+5y = 4 \llbracket x - 1 ] + 5y=4[[x−1]+5 
D)    y=⟦4x+5⟧y = \llbracket 4 x + 5 \rrbrackety=[[4x+5]]

Exam 3: Graphs and Functions

Graph the function. -A video rental company charges $\$ 5$ per day for renting a video tape, and then $\$ 4$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $\mathrm { x }$ days.

Correct Answer
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Determine whether the three points are the vertices of a right triangle. -(-6, -6) , (0, -4) , (6, -11)

Correct Answer
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Correct Answer
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Write an equation for the line described. Write the equation in the form specified. -perpendicular to $- 8 x + 7 y = 8$ , through $( - 8,8 )$ ; slope-intercept form

Correct Answer
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Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = - 6 x ^ { 3 } + 2 x$

Correct Answer
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Find the requested function value. -Find $( f \circ g ) ( - 9 )$ when $f ( x ) = 9 x - 2$ and $g ( x ) = - 4 x ^ { 2 } + 6 x + 7$

Correct Answer
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Graph the function. - $g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$ $Graph the function. - g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6 A) B) C) D)$

Correct Answer
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Graph the equation by plotting points. - $y=x^{3}+5$ $Graph the equation by plotting points. - y=x^{3}+5 A) B) C) D)$

Correct Answer
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Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = - ( x + 7 ) ^ { 2 }$

Correct Answer
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The figure below shows the graph of a function y = f(x) . Use this graph to - $\text { Sketch the graph of } y = f ( x - 3 ) \text {. }$ $The figure below shows the graph of a function y = f(x) . Use this graph to - \text { Sketch the graph of } y = f ( x - 3 ) \text {. } A) B) C) D)$

Correct Answer
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Correct Answer
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Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

Correct Answer
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (7, 13) , endpoint (10, 9)

Correct Answer
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Correct Answer
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Correct Answer
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Write all linear equations in slope-intercept form. -In a lab experiment 8 grams of acid were produced in 30 minutes and 18 grams in 34 minutes. Find a linear equation that models the number of grams produced in x minutes.

Correct Answer
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Correct Answer
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Correct Answer
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Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $- 9 x + 2 + 7 x = - 2 x + 7$

Correct Answer
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Exam 3: Graphs and Functions

Graph the function. -A video rental company charges $5\$ 5$5 per day for renting a video tape, and then $4\$ 4$4 per day after the first. Use the greatest integer function and write an expression for renting a video tape for x\mathrm { x }x days.

Correct AnswerverifiedShow Answer

Determine whether the three points are the vertices of a right triangle. -(-6, -6) , (0, -4) , (6, -11)

Correct AnswerverifiedShow Answer

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - h(x) =−4xh(x) =-4 xh(x) =−4x

Correct AnswerverifiedShow Answer

Write an equation for the line described. Write the equation in the form specified. -perpendicular to −8x+7y=8- 8 x + 7 y = 8−8x+7y=8 , through (−8,8) ( - 8,8 ) (−8,8) ; slope-intercept form

Correct AnswerverifiedShow Answer

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - y=−6x3+2xy = - 6 x ^ { 3 } + 2 xy=−6x3+2x

Correct AnswerverifiedShow Answer

Find the requested function value. -Find (f∘g) (−9) ( f \circ g ) ( - 9 ) (f∘g) (−9) when f(x) =9x−2f ( x ) = 9 x - 2f(x) =9x−2 and g(x) =−4x2+6x+7g ( x ) = - 4 x ^ { 2 } + 6 x + 7g(x) =−4x2+6x+7

Correct AnswerverifiedShow Answer

Graph the function. - g(x) =14∣x−5∣−6g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6g(x) =41​∣x−5∣−6

Correct AnswerverifiedShow Answer

Graph the equation by plotting points. - y=x3+5y=x^{3}+5y=x3+5

Correct AnswerverifiedShow Answer

Describe how the graph of the equation relates to the graph of y y=x2y = x ^ { 2 }y=x2 - f(x) =−(x+7) 2f ( x ) = - ( x + 7 ) ^ { 2 }f(x) =−(x+7) 2

Correct AnswerverifiedShow Answer

The figure below shows the graph of a function y = f(x) . Use this graph to - Sketch the graph of y=f(x−3) . \text { Sketch the graph of } y = f ( x - 3 ) \text {. } Sketch the graph of y=f(x−3) .

Correct AnswerverifiedShow Answer

Graph the equation by determining the missing values needed to plot the ordered pairs. - x+3y=6;(0,) ,(,0) ,(1,) ,(,1) x + 3 y = 6 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad ) , ( , 1 ) x+3y=6;(0,) ,(,0) ,(1,) ,(,1)

Correct AnswerverifiedShow Answer

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

Correct AnswerverifiedShow Answer

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (7, 13) , endpoint (10, 9)

Correct AnswerverifiedShow Answer

Graph the equation by determining the missing values needed to plot the ordered pairs. - y+x=4;(1,) ,(4,) ,(3,) y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad ) y+x=4;(1,) ,(4,) ,(3,)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Write all linear equations in slope-intercept form. -In a lab experiment 8 grams of acid were produced in 30 minutes and 18 grams in 34 minutes. Find a linear equation that models the number of grams produced in x minutes.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Describe the transformations and give the equation for the graph. -

Correct AnswerverifiedShow Answer

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - −9x+2+7x=−2x+7- 9 x + 2 + 7 x = - 2 x + 7−9x+2+7x=−2x+7

Correct AnswerverifiedShow Answer

Graph the function. -A video rental company charges $\$ 5$ per day for renting a video tape, and then $\$ 4$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $\mathrm { x }$ days.

Correct Answer
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Correct Answer
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Correct Answer
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Write an equation for the line described. Write the equation in the form specified. -perpendicular to $- 8 x + 7 y = 8$ , through $( - 8,8 )$ ; slope-intercept form

Correct Answer
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Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = - 6 x ^ { 3 } + 2 x$

Correct Answer
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Find the requested function value. -Find $( f \circ g ) ( - 9 )$ when $f ( x ) = 9 x - 2$ and $g ( x ) = - 4 x ^ { 2 } + 6 x + 7$

Correct Answer
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Graph the function. - $g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$ $Graph the function. - g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6 A) B) C) D)$

Correct Answer
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Graph the equation by plotting points. - $y=x^{3}+5$ $Graph the equation by plotting points. - y=x^{3}+5 A) B) C) D)$

Correct Answer
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Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = - ( x + 7 ) ^ { 2 }$

Correct Answer
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The figure below shows the graph of a function y = f(x) . Use this graph to - $\text { Sketch the graph of } y = f ( x - 3 ) \text {. }$ $The figure below shows the graph of a function y = f(x) . Use this graph to - \text { Sketch the graph of } y = f ( x - 3 ) \text {. } A) B) C) D)$

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Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $- 9 x + 2 + 7 x = - 2 x + 7$

Correct Answer
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