Question 1

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
- f(x) =14x−3f ( x )  = \frac { 1 } { 4 } x - 3f(x) =41​x−3

Accepted Answer

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

Question 2

For the points P and Q, find the distance d(P, Q) .
- P(911,−27) ,Q(−311,−77) \mathrm { P } ( 9 \sqrt { 11 } , - 2 \sqrt { 7 } )  , \mathrm { Q } ( - 3 \sqrt { 11 } , - 7 \sqrt { 7 } ) P(911​,−27​) ,Q(−311​,−77​)

Accepted Answer

A)    1759\sqrt { 1759 }1759c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)   1759
C)    167\sqrt { 167 }167c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
D)   167

Question 3

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)   Increasing  (3,∞) ( 3 , \infty ) (3,∞)  ; Decreasing  (−∞,−3) ( - \infty , - 3 ) (−∞,−3)  ; Constant  (−3,3) ( - 3,3 ) (−3,3)  
B)   Increasing  (−∞,3) ( - \infty , 3 ) (−∞,3)  ; Decreasing  (−3,∞) ( - 3 , \infty ) (−3,∞)  ; Constant  (−3,3) ( - 3,3 ) (−3,3)  
C)   Increasing  (3,∞) ( 3 , \infty ) (3,∞)  ; Decreasing  (−3,∞) ( - 3 , \infty ) (−3,∞)  ; Constant  (−3,3) ( - 3,3 ) (−3,3)  
D)   Increasing  (−∞,3) ( - \infty , 3 ) (−∞,3)  ; Decreasing  (−∞,−3) ( - \infty , - 3 ) (−∞,−3)  ; Constant  (−3,3) ( - 3,3 ) (−3,3)

Question 4

Graph the point symmetric to the given point.
-  Plot the point (6,0) , then plot the point that is symmetric to (6,0)  with respect to the origin. 	ext { Plot the point } ( 6,0 )  	ext {, then plot the point that is symmetric to } ( 6,0 )  	ext { with respect to the origin. } Plot the point (6,0) , then plot the point that is symmetric to (6,0)  with respect to the origin.

Accepted Answer

A)  
B)  
C)  
D)

Question 5

Suppose the point (2, 4)  is on the graph of y = f(x) . Find a point on the graph of the given function.
- y=f(x) +6y = f ( x )  + 6y=f(x) +6

Accepted Answer

A)    (−4,4) ( - 4,4 ) (−4,4)  
B)    (2,10) ( 2,10 ) (2,10)  
C)    (8,4) ( 8,4 ) (8,4)  
D)    (2,−6) ( 2 , - 6 ) (2,−6)

Question 6

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 radius  r\mathrm { r }r  of a circle of known area  A\mathrm { A }A  is given by  r=A/π\mathrm { r } = \sqrt { \mathrm { A } / \pi }r=A/π​ , where  π≈3.1416\pi \approx 3.1416π≈3.1416 . Find the radius and circumference of a circle with an area of  45.17sqft45.17 \mathrm { sq } \mathrm { ft }45.17sqft . (Round results to two decimal places.)

Accepted Answer

A)    r=3.79ft,C=8.86ft\mathrm { r } = 3.79 \mathrm { ft } , \mathrm { C } = 8.86 \mathrm { ft }r=3.79ft,C=8.86ft 
B)    r=14.36ft,C=90.23ft\mathrm { r } = 14.36 \mathrm { ft } , \mathrm { C } = 90.23 \mathrm { ft }r=14.36ft,C=90.23ft 
C)    r=3.79ft,C=23.81sqftr = 3.79 \mathrm { ft } , \mathrm { C } = 23.81 \mathrm { sq } \mathrm { ft }r=3.79ft,C=23.81sqft 
D)    r=3.79ft,C=23.81ft\mathrm { r } = 3.79 \mathrm { ft } , \mathrm { C } = 23.81 \mathrm { ft }r=3.79ft,C=23.81ft

Question 7

Graph the function.
- f(x) =(x+2) 3−3f ( x )  = ( x + 2 )  ^ { 3 } - 3f(x) =(x+2) 3−3

Accepted Answer

A)  
B)  
C)  
D)

Question 8

Write an equation for the line described. Give your answer in slope-intercept form.
-through  (7,−7) ( 7 , - 7 ) (7,−7)   and  (0,−5) ( 0 , - 5 ) (0,−5)

Accepted Answer

A)    y=27x−5y = \frac { 2 } { 7 } x - 5y=72​x−5 
B)    y=145x−5y = \frac { 14 } { 5 } x - 5y=514​x−5 
C)    y=−27x−5y = - \frac { 2 } { 7 } x - 5y=−72​x−5 
D)    y=−145x−5y = - \frac { 14 } { 5 } x - 5y=−514​x−5

Question 9

Give the domain and range of the relation.
- y=6x−2y = 6 x - 2y=6x−2

Accepted Answer

A)   domain:  [0,∞) [ 0 , \infty ) [0,∞)  ; range:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  
B)   domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  ; range:  [0,∞) [ 0 , \infty ) [0,∞)  
C)   domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  ; range:  [−2,∞) [ - 2 , \infty ) [−2,∞)  
D)   domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  ; range:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)

Question 10

Find the slope of the line satisfying the given conditions.
-through  (6,−2) ( 6 , - 2 ) (6,−2)   and  (4,7) ( 4,7 ) (4,7)

Accepted Answer

A)    29\frac { 2 } { 9 }92​ 
B)    −29- \frac { 2 } { 9 }−92​ 
C)    92\frac { 9 } { 2 }29​ 
D)    −92- \frac { 9 } { 2 }−29​

Question 11

Evaluate the function.
-Find  f(k−1) f ( k - 1 ) f(k−1)   when  f(x) =5x2+4x+2f ( x )  = 5 x ^ { 2 } + 4 x + 2f(x) =5x2+4x+2

Accepted Answer

A)    5k2−6k+115 k ^ { 2 } - 6 k + 115k2−6k+11 
B)    5k2+14k+115 \mathrm { k } ^ { 2 } + 14 \mathrm { k } + 115k2+14k+11 
C)    5k2−6k+35 k ^ { 2 } - 6 k + 35k2−6k+3 
D)    −6k2+5k+3- 6 k ^ { 2 } + 5 k + 3−6k2+5k+3

Question 12

Provide an appropriate response.
-If the point (a, b)  is in the fourth quadrant, in what quadrant is (-a, -b) ?

Accepted Answer

A)   I
B)   II
C)   III
D)   IV

Question 13

Give the domain and range of the relation.
- {(1,9) ,(−2,−8) ,(−6,−5) ,(6,−8) }\{ ( 1,9 )  , ( - 2 , - 8 )  , ( - 6 , - 5 )  , ( 6 , - 8 )  \}{(1,9) ,(−2,−8) ,(−6,−5) ,(6,−8) }

Accepted Answer

A)   domain:  {1,6,9}\{ 1,6,9 \}{1,6,9} ; range:  {−8,−6,−5,−2}\{ - 8 , - 6 , - 5 , - 2 \}{−8,−6,−5,−2} 
B)   domain:  {−6,−2,1,6}\{ - 6 , - 2,1,6 \}{−6,−2,1,6} ; range:  {−8,−5,9}\{ - 8 , - 5,9 \}{−8,−5,9} 
C)   domain:  {−8,−5,9}\{ - 8 , - 5,9 \}{−8,−5,9} ; range:  {−6,−2,1,6}\{ - 6 , - 2,1,6 \}{−6,−2,1,6} 
D)   domain:  {−8,−6,−5,−2}\{ - 8 , - 6 , - 5 , - 2 \}{−8,−6,−5,−2} ; range:  {1,6,9}\{ 1,6,9 \}{1,6,9}

Question 14

Evaluate the function.
-Find  f(4) f ( 4 ) f(4)

Accepted Answer

A)   7
B)   None of these
C)    (12,7) ( 12,7 ) (12,7)  
D)   12

Question 15

Find the average rate of change illustrated in the graph.
-An investment is worth $3578 in year 0, the initial investment year. By year 4 its value has increased to $4262. Let y be the value of the investment in the year x. Find and interpret the
Average rate of change in value per year.

Accepted Answer

A)   $3578 per year; the value of the investment increases by $3578 per year during these years.
B)   $171 per year; the value of the investment increases by $171 per year during these years.
C)   $4946 per year; the value of the investment increases by $4946 per year during these years.
D)   -$171 per year; the value of the investment decreases by $171 per year during these years.

Question 16

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

Accepted Answer

A)  
B)  
C)  
D)

Question 17

Graph the equation by plotting points.
- y=(x+2) 3y = ( x + 2 )  ^ { 3 }y=(x+2) 3

Accepted Answer

A)  
B)  
C)  
D)

Question 18

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x) .
- x+3y=4x + 3 y = 4x+3y=4

Accepted Answer

A)    f(x) =−13x+43f ( x )  = - \frac { 1 } { 3 } x + \frac { 4 } { 3 }f(x) =−31​x+34​ 
B)    f(x) =3x−4f ( x )  = 3 x - 4f(x) =3x−4 
C)    f(x) =−x+43f ( x )  = - x + \frac { 4 } { 3 }f(x) =−x+34​ 
D)    f(x) =13x+43f ( x )  = \frac { 1 } { 3 } x + \frac { 4 } { 3 }f(x) =31​x+34​

Question 19

Graph the function.
- f(x) =−16x2f ( x )  = - \frac { 1 } { 6 } x ^ { 2 }f(x) =−61​x2

Accepted Answer

A)  
B)  
C)  
D)

Question 20

Give the domain and range of the relation.
- {(2,7) ,(−1,−9) ,(−6,−4) ,(6,0) }\{ ( 2,7 )  , ( - 1 , - 9 )  , ( - 6 , - 4 )  , ( 6,0 )  \}{(2,7) ,(−1,−9) ,(−6,−4) ,(6,0) }

Accepted Answer

A)   domain:  {−9,−6,−4,−1}\{ - 9 , - 6 , - 4 , - 1 \}{−9,−6,−4,−1} ; range:  {2,6,7}\{ 2,6,7 \}{2,6,7} 
B)   domain:  {−6,−1,2,6}\{ - 6 , - 1,2,6 \}{−6,−1,2,6} ; range:  {−9,−4,0,7}\{ - 9 , - 4,0,7 \}{−9,−4,0,7} 
C)   domain:  {−9,−4,0,7}\{ - 9 , - 4,0,7 \}{−9,−4,0,7} ; range:  {−6,−1,2,6}\{ - 6 , - 1,2,6 \}{−6,−1,2,6} 
D)   domain:  {2,6,7}\{ 2,6,7 \}{2,6,7} ; range:  {−9,−6,−4,−1}\{ - 9 , - 6 , - 4 , - 1 \}{−9,−6,−4,−1}

Exam 3: Graphs and Functions

Graph the function. - $f ( x ) = - \frac { 1 } { 6 } x ^ { 2 }$ $Graph the function. - f ( x ) = - \frac { 1 } { 6 } x ^ { 2 } A) B) C) D)$

Correct Answer
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Graph the equation by plotting points. - $y = ( x + 2 ) ^ { 3 }$ $Graph the equation by plotting points. - y = ( x + 2 ) ^ { 3 } A) B) C) D)$

Correct Answer
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Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b) ?

Correct Answer
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Correct Answer
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Give the domain and range of the relation. - $y = 6 x - 2$

Correct Answer
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Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. - $y = f ( x ) + 6$

Correct Answer
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Give the domain and range of the relation. - $\{ ( 2,7 ) , ( - 1 , - 9 ) , ( - 6 , - 4 ) , ( 6,0 ) \}$

Correct Answer
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Find the slope of the line satisfying the given conditions. -through $( 6 , - 2 )$ and $( 4,7 )$

Correct Answer
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Correct Answer
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Evaluate the function. -Find $f ( 4 )$

Correct Answer
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For the points P and Q, find the distance d(P, Q) . - $\mathrm { P } ( 9 \sqrt { 11 } , - 2 \sqrt { 7 } ) , \mathrm { Q } ( - 3 \sqrt { 11 } , - 7 \sqrt { 7 } )$

Correct Answer
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An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x) . - $x + 3 y = 4$

Correct Answer
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Evaluate the function. -Find $f ( k - 1 )$ when $f ( x ) = 5 x ^ { 2 } + 4 x + 2$

Correct Answer
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Graph the function. - $f ( x ) = ( x + 2 ) ^ { 3 } - 3$ $Graph the function. - f ( x ) = ( x + 2 ) ^ { 3 } - 3 A) B) C) D)$

Correct Answer
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Write an equation for the line described. Give your answer in slope-intercept form. -through $( 7 , - 7 )$ and $( 0 , - 5 )$

Correct Answer
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Correct Answer
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Give the domain and range of the relation. - $\{ ( 1,9 ) , ( - 2 , - 8 ) , ( - 6 , - 5 ) , ( 6 , - 8 ) \}$

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

Correct Answer
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Find the average rate of change illustrated in the graph. -An investment is worth $3578 in year 0, the initial investment year. By year 4 its value has increased to $4262. Let y be the value of the investment in the year x. Find and interpret the Average rate of change in value per year.

Correct Answer
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Correct Answer
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Exam 3: Graphs and Functions

Graph the function. - f(x) =−16x2f ( x ) = - \frac { 1 } { 6 } x ^ { 2 }f(x) =−61​x2

Correct AnswerverifiedShow Answer

Graph the equation by plotting points. - y=(x+2) 3y = ( x + 2 ) ^ { 3 }y=(x+2) 3

Correct AnswerverifiedShow Answer

Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b) ?

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. - f(x) =14x−3f ( x ) = \frac { 1 } { 4 } x - 3f(x) =41​x−3

Correct AnswerverifiedShow Answer

Give the domain and range of the relation. - y=6x−2y = 6 x - 2y=6x−2

Correct AnswerverifiedShow Answer

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. - y=f(x) +6y = f ( x ) + 6y=f(x) +6

Correct AnswerverifiedShow Answer

Give the domain and range of the relation. - {(2,7) ,(−1,−9) ,(−6,−4) ,(6,0) }\{ ( 2,7 ) , ( - 1 , - 9 ) , ( - 6 , - 4 ) , ( 6,0 ) \}{(2,7) ,(−1,−9) ,(−6,−4) ,(6,0) }

Correct AnswerverifiedShow Answer

Find the slope of the line satisfying the given conditions. -through (6,−2) ( 6 , - 2 ) (6,−2) and (4,7) ( 4,7 ) (4,7)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Evaluate the function. -Find f(4) f ( 4 ) f(4)

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For the points P and Q, find the distance d(P, Q) . - P(911,−27) ,Q(−311,−77) \mathrm { P } ( 9 \sqrt { 11 } , - 2 \sqrt { 7 } ) , \mathrm { Q } ( - 3 \sqrt { 11 } , - 7 \sqrt { 7 } ) P(911​,−27​) ,Q(−311​,−77​)

Correct AnswerverifiedShow Answer

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x) . - x+3y=4x + 3 y = 4x+3y=4

Correct AnswerverifiedShow Answer

Evaluate the function. -Find f(k−1) f ( k - 1 ) f(k−1) when f(x) =5x2+4x+2f ( x ) = 5 x ^ { 2 } + 4 x + 2f(x) =5x2+4x+2

Correct AnswerverifiedShow Answer

Graph the function. - f(x) =(x+2) 3−3f ( x ) = ( x + 2 ) ^ { 3 } - 3f(x) =(x+2) 3−3

Correct AnswerverifiedShow Answer

Write an equation for the line described. Give your answer in slope-intercept form. -through (7,−7) ( 7 , - 7 ) (7,−7) and (0,−5) ( 0 , - 5 ) (0,−5)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Give the domain and range of the relation. - {(1,9) ,(−2,−8) ,(−6,−5) ,(6,−8) }\{ ( 1,9 ) , ( - 2 , - 8 ) , ( - 6 , - 5 ) , ( 6 , - 8 ) \}{(1,9) ,(−2,−8) ,(−6,−5) ,(6,−8) }

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) . \text { Sketch the graph of } y = f ( - x ) \text {. } Sketch the graph of y=f(−x) .

Correct AnswerverifiedShow Answer

Find the average rate of change illustrated in the graph. -An investment is worth $3578 in year 0, the initial investment year. By year 4 its value has increased to $4262. Let y be the value of the investment in the year x. Find and interpret the Average rate of change in value per year.

Correct AnswerverifiedShow Answer

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Correct AnswerverifiedShow Answer

Graph the function. - $f ( x ) = - \frac { 1 } { 6 } x ^ { 2 }$ $Graph the function. - f ( x ) = - \frac { 1 } { 6 } x ^ { 2 } A) B) C) D)$

Correct Answer
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Graph the equation by plotting points. - $y = ( x + 2 ) ^ { 3 }$ $Graph the equation by plotting points. - y = ( x + 2 ) ^ { 3 } A) B) C) D)$

Correct Answer
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Correct Answer
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Give the domain and range of the relation. - $y = 6 x - 2$

Correct Answer
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Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. - $y = f ( x ) + 6$

Correct Answer
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Give the domain and range of the relation. - $\{ ( 2,7 ) , ( - 1 , - 9 ) , ( - 6 , - 4 ) , ( 6,0 ) \}$

Correct Answer
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Find the slope of the line satisfying the given conditions. -through $( 6 , - 2 )$ and $( 4,7 )$

Correct Answer
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Correct Answer
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Evaluate the function. -Find $f ( 4 )$

Correct Answer
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For the points P and Q, find the distance d(P, Q) . - $\mathrm { P } ( 9 \sqrt { 11 } , - 2 \sqrt { 7 } ) , \mathrm { Q } ( - 3 \sqrt { 11 } , - 7 \sqrt { 7 } )$

Correct Answer
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An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x) . - $x + 3 y = 4$

Correct Answer
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Evaluate the function. -Find $f ( k - 1 )$ when $f ( x ) = 5 x ^ { 2 } + 4 x + 2$

Correct Answer
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Graph the function. - $f ( x ) = ( x + 2 ) ^ { 3 } - 3$ $Graph the function. - f ( x ) = ( x + 2 ) ^ { 3 } - 3 A) B) C) D)$

Correct Answer
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Write an equation for the line described. Give your answer in slope-intercept form. -through $( 7 , - 7 )$ and $( 0 , - 5 )$

Correct Answer
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Correct Answer
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Give the domain and range of the relation. - $\{ ( 1,9 ) , ( - 2 , - 8 ) , ( - 6 , - 5 ) , ( 6 , - 8 ) \}$

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

Correct Answer
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Correct Answer
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