Question 1

Give a rule for the piecewise-defined function. Then give the domain and range.
-

Accepted Answer

A)    f(x) ={x3 if x<1x+4 if x≥1;f ( x )  = \left\{ \begin{array} { l l } x ^ { 3 } & 	ext { if } x < 1 \ x + 4 & 	ext { if } x \geq 1 \end{array} ; ight.f(x) ={x3x+4​ if x<1 if x≥1​;  Domain:  (∞,∞) ( \infty , \infty ) (∞,∞)  , Range:  (∞,1) ∪[5,∞) ( \infty , 1 )  \cup [ 5 , \infty ) (∞,1) ∪[5,∞)  
B)    f(x) ={x3 if x<1x−4 if x≥1;f ( x )  = \left\{ \begin{array} { l l } x ^ { 3 } & 	ext { if } x < 1 \ x - 4 & 	ext { if } x \geq 1 \end{array} ; ight.f(x) ={x3x−4​ if x<1 if x≥1​;  Domain:  (∞,1) ∪[5,∞) ( \infty , 1 )  \cup [ 5 , \infty ) (∞,1) ∪[5,∞)  , Range:  (∞,∞) ( \infty , \infty ) (∞,∞)  
C)    f(x) ={x3 if x<1; Domain: (∞,∞) , Range: (∞,1) ∪[5,∞) x+4 if x≥1f ( x )  = \left\{ \begin{array} { l l } \sqrt [ 3 ] { x } & 	ext { if } x < 1 ; 	ext { Domain: } ( \infty , \infty )  , 	ext { Range: } ( \infty , 1 )  \cup [ 5 , \infty )  \ x + 4 & 	ext { if } x \geq 1 \end{array} ight.f(x) ={3xc-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'/>​x+4​ if x<1; Domain: (∞,∞) , Range: (∞,1) ∪[5,∞)  if x≥1​ 
D)    f(x) ={−x3 if x<1x−4 if x≥1;f ( x )  = \left\{ \begin{array} { l l } - x ^ { 3 } & 	ext { if } x < 1 \ x - 4 & 	ext { if } x \geq 1 \end{array} ; ight.f(x) ={−x3x−4​ if x<1 if x≥1​;  Domain:  (∞,1) ∪[5,∞) ( \infty , 1 )  \cup [ 5 , \infty ) (∞,1) ∪[5,∞)  , Range:  (∞,∞) ( \infty , \infty ) (∞,∞)

Question 2

Describe how the graph of the equation relates to the graph of y  y=x3y = \sqrt [ 3 ] { x }y=3x​  .
- f(x) =−(x−6) 2−2f(x) =-(x-6) ^{2}-2f(x) =−(x−6) 2−2

Accepted Answer

A)  
B)  
C)  
D)

Question 3

Graph the line and give the domain and the range.
- y+4=0y+4=0y+4=0

Accepted Answer

A)    D=(−∞,∞) ,R={−4}D = ( - \infty , \infty )  , R = \{ - 4 \}D=(−∞,∞) ,R={−4} 
B)    D=(−∞,∞) ,R={−4}\mathrm { D } = ( - \infty , \infty )  , \mathrm { R } = \{ - 4 \}D=(−∞,∞) ,R={−4} 
C)    D={−4},R=(−∞,∞) \mathrm { D } = \{ - 4 \} , \quad R = ( - \infty , \infty ) D={−4},R=(−∞,∞)  
D)    D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty )  , \mathrm { R } = ( - \infty , \infty ) D=(−∞,∞) ,R=(−∞,∞)

Question 4

Find the slope of the line and sketch the graph.
- 2x−3y=−32 x - 3 y = - 32x−3y=−3

Accepted Answer

A)    m=23\mathrm { m } = \frac { 2 } { 3 }m=32​ 
B)    m=−32m = - \frac { 3 } { 2 }m=−23​ 
C)    m=−23m = - \frac { 2 } { 3 }m=−32​ 
D)    m=32m = \frac { 3 } { 2 }m=23​

Question 5

Determine whether the three points are collinear.
-Which graphs of functions increase over the whole of their domain?

Accepted Answer

A)   graphs A and B
B)   graphs C and D
C)   graphs A and D
D)   graph D

Question 6

Find the specified domain.
-Find the domain of  (f+g) (x) ( f + g )  ( x ) (f+g) (x)   when  f(x) =3x+9f ( x )  = 3 x + 9f(x) =3x+9  and  g(x) =2x−8g ( x )  = \frac { 2 } { x - 8 }g(x) =x−82​

Accepted Answer

A)    (−∞,8) ∪(8,∞) ( - \infty , 8 )  \cup ( 8 , \infty ) (−∞,8) ∪(8,∞)  
B)    (−∞,∞) ( - \infty , \infty ) (−∞,∞)  
C)    (−∞,−2) ∪(−2,∞) ( - \infty , - 2 )  \cup ( - 2 , \infty ) (−∞,−2) ∪(−2,∞)  
D)    (−∞,−8) ∪(−8,∞) ( - \infty , - 8 )  \cup ( - 8 , \infty ) (−∞,−8) ∪(−8,∞)

Question 7

Compute and simplify the difference quotient  f(x+h) −f(x) h,h≠0\frac { f ( x + h )  - f ( x )  } { h } , h 
eq 0hf(x+h) −f(x) ​,h=0 
- f(x) =2x2+7xf ( x )  = 2 x ^ { 2 } + 7 xf(x) =2x2+7x

Accepted Answer

A)    6x−4h+146 x - 4 h + 146x−4h+14 
B)    4x2+2h+7x4 x ^ { 2 } + 2 h + 7 x4x2+2h+7x 
C)    4x+74 x + 74x+7 
D)    4x+2h+74 x + 2 h + 74x+2h+7

Question 8

Graph the point symmetric to the given point.
-  Plot the point (−4,7) , then plot the point that is symmetric to (−4,7)  with respect to the y-axis. 	ext { Plot the point } ( - 4,7 )  	ext {, then plot the point that is symmetric to } ( - 4,7 )  	ext { with respect to the } y 	ext {-axis. } Plot the point (−4,7) , then plot the point that is symmetric to (−4,7)  with respect to the y-axis.

Accepted Answer

A)  
B)  
C)  
D)

Question 9

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
number for both groups. Use the graph to answer the question. 
-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  48.71sqft48.71 \mathrm { sq } \mathrm { ft }48.71sqft . (Round results to two decimal places.)

Accepted Answer

A)    r=15.52ft,C=97.52ft\mathrm { r } = 15.52 \mathrm { ft } , \mathrm { C } = 97.52 \mathrm { ft }r=15.52ft,C=97.52ft 
B)    r=3.94ft,C=24.76ft\mathrm { r } = 3.94 \mathrm { ft } , \mathrm { C } = 24.76 \mathrm { ft }r=3.94ft,C=24.76ft 
C)    r=3.94ft,C=24.76sqft\mathrm { r } = 3.94 \mathrm { ft } , \mathrm { C } = 24.76 \mathrm { sq } \mathrm { ft }r=3.94ft,C=24.76sqft 
D)    r=3.94ft,C=8.86ft\mathrm { r } = 3.94 \mathrm { ft } , \mathrm { C } = 8.86 \mathrm { ft }r=3.94ft,C=8.86ft

Question 10

Give the domain and range of the relation.
-Find  g(a+1) g ( a + 1 ) g(a+1)   when  g(x) =4x+3g ( x )  = 4 x + 3g(x) =4x+3

Accepted Answer

A)    4a+74 a + 74a+7 
B)    4a−14 a - 14a−1 
C)    4a+34 a + 34a+3 
D)    14a+3\frac { 1 } { 4 } a + 341​a+3

Question 11

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

Accepted Answer

A)    D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty )  , \mathrm { R } = ( - \infty , \infty ) D=(−∞,∞) ,R=(−∞,∞)  
B)    D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty )  , \quad \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 12

Graph the equation by plotting points.
- y=(x+1) 3y=(x+1) ^{3}y=(x+1) 3

Accepted Answer

A)  
B)  
C)  
D)

Question 13

Decide whether the relation defines a function.
- y=3x−3y = \frac { 3 } { x - 3 }y=x−33​

Accepted Answer

A)   Function
B)   Not a function

Question 14

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint  (−8,−9) ( - 8 , - 9 ) (−8,−9)  , endpoint  (−10,−5) ( - 10 , - 5 ) (−10,−5)

Accepted Answer

A)    (−6,−13) ( - 6 , - 13 ) (−6,−13)  
B)    (−6,−1) ( - 6 , - 1 ) (−6,−1)  
C)    (−18,−1) ( - 18 , - 1 ) (−18,−1)  
D)    (−14,3) ( - 14,3 ) (−14,3)

Question 15

For the pair of functions, find the indicated sum, difference, product, or quotient.
- f(x) =3x+5,g(x) =9x−16f ( x )  = \sqrt { 3 x + 5 } , g ( x )  = \sqrt { 9 x - 16 }f(x) =3x+5​,g(x) =9x−16​ 
Find  (fg) (x) ( f g )  ( x ) (fg) (x)  .

Accepted Answer

A)    (3x+5) (9x−16) ( \sqrt { 3 x + 5 } )  ( \sqrt { 9 x - 16 } ) (3x+5c-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'/>​) (9x−16c-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)    (3x+5) (9x−16) ( 3 x + 5 )  ( 9 x - 16 ) (3x+5) (9x−16)  
C)    (3x+5) (3x−4) ( 3 x + 5 )  ( 3 x - 4 ) (3x+5) (3x−4)  
D)    (3x−4) (3x+5) ( 3 x - 4 )  ( \sqrt { 3 x + 5 } ) (3x−4) (3x+5c-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'/>​)

Question 16

Find the center and radius of the circle.
- x2+y2+4x−16y−13=0x ^ { 2 } + y ^ { 2 } + 4 x - 16 y - 13 = 0x2+y2+4x−16y−13=0

Accepted Answer

A)   center:  (2,−8) ( 2 , - 8 ) (2,−8)  ; radius: 81
B)   center:  (−2,8) ( - 2,8 ) (−2,8)  ; radius: 9
C)   center:  (−8,2) ( - 8,2 ) (−8,2)  ; radius: 81
D)   center:  (8,−2) ( 8 , - 2 ) (8,−2)  ; radius: 9

Question 17

Write an equation for the line described. Give your answer in slope-intercept form.
- m=−7\mathrm { m } = - 7m=−7 , through  (−4,2) ( - 4,2 ) (−4,2)

Accepted Answer

A)    y=7x−24y = 7 x - 24y=7x−24 
B)    y=−7x−26y = - 7 x - 26y=−7x−26 
C)    y=−7x+33y = - 7 x + 33y=−7x+33 
D)    7x+y=267 x + y = 267x+y=26

Question 18

Determine the intervals of the domain over which the function is continuous.
-P(2, 3)

Accepted Answer

A)    (−∞,2]∪[2,∞) ( - \infty , 2 ] \cup [ 2 , \infty ) (−∞,2]∪[2,∞)  
B)    (−∞,3) ∪(3,∞) ( - \infty , 3 )  \cup ( 3 , \infty ) (−∞,3) ∪(3,∞)  
C)    (−∞,2) ∪(2,∞) ( - \infty , 2 )  \cup ( 2 , \infty ) (−∞,2) ∪(2,∞)  
D)    (−∞,∞) ( - \infty , \infty ) (−∞,∞)

Question 19

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+6f(x) =\frac{1}{4} x+6f(x) =41​x+6

Accepted Answer

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

Question 20

Describe how the graph of the equation relates to the graph of y  y=x3y = \sqrt [ 3 ] { x }y=3x​  .
- f(x) =13∣−x∣f ( x )  = \frac { 1 } { 3 } | - x |f(x) =31​∣−x∣

Accepted Answer

A)  
B)  
C)  
D)

Exam 3: Graphs and Functions

Give the domain and range of the relation. -Find $g ( a + 1 )$ when $g ( x ) = 4 x + 3$

Correct Answer
verified

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint $( - 8 , - 9 )$ , endpoint $( - 10 , - 5 )$

Correct Answer
verified

Determine whether the three points are collinear. -Which graphs of functions increase over the whole of their domain?

Correct Answer
verified

Correct Answer
verified

Find the slope of the line and sketch the graph. - $2 x - 3 y = - 3$ $Find the slope of the line and sketch the graph. - 2 x - 3 y = - 3 A) \mathrm { m } = \frac { 2 } { 3 } B) m = - \frac { 3 } { 2 } C) m = - \frac { 2 } { 3 } D) m = \frac { 3 } { 2 }$

Correct Answer
verified

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 4 x - 16 y - 13 = 0$

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x) =-(x-6) ^{2}-2$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x) =-(x-6) ^{2}-2 A) B) C) D)$

Correct Answer
verified

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = 2 x ^ { 2 } + 7 x$

Correct Answer
verified

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f ( x ) = \frac { 1 } { 3 } | - x |$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f ( x ) = \frac { 1 } { 3 } | - x | A) B) C) D)$

Correct Answer
verified

Decide whether the relation defines a function. - $y = \frac { 3 } { x - 3 }$

Correct Answer
verified

Correct Answer
verified

Graph the equation by plotting points. - $y=(x+1) ^{3}$ $Graph the equation by plotting points. - y=(x+1) ^{3} A) B) C) D)$

Correct Answer
verified

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 7$ , through $( - 4,2 )$

Correct Answer
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Correct Answer
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Correct Answer
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For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = \sqrt { 3 x + 5 } , g ( x ) = \sqrt { 9 x - 16 }$ Find $( f g ) ( x )$ .

Correct Answer
verified

Find the specified domain. -Find the domain of $( f + g ) ( x )$ when $f ( x ) = 3 x + 9$ and $g ( x ) = \frac { 2 } { x - 8 }$

Correct Answer
verified

Exam 3: Graphs and Functions

Give the domain and range of the relation. -Find g(a+1) g ( a + 1 ) g(a+1) when g(x) =4x+3g ( x ) = 4 x + 3g(x) =4x+3

Correct AnswerverifiedShow Answer

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (−8,−9) ( - 8 , - 9 ) (−8,−9) , endpoint (−10,−5) ( - 10 , - 5 ) (−10,−5)

Correct AnswerverifiedShow Answer

Determine whether the three points are collinear. -Which graphs of functions increase over the whole of their domain?

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+6f(x) =\frac{1}{4} x+6f(x) =41​x+6

Correct AnswerverifiedShow Answer

Find the slope of the line and sketch the graph. - 2x−3y=−32 x - 3 y = - 32x−3y=−3

Correct AnswerverifiedShow Answer

Find the center and radius of the circle. - x2+y2+4x−16y−13=0x ^ { 2 } + y ^ { 2 } + 4 x - 16 y - 13 = 0x2+y2+4x−16y−13=0

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Graph the line and give the domain and the range. - y+4=0y+4=0y+4=0

Correct AnswerverifiedShow Answer

Determine the intervals of the domain over which the function is continuous. -P(2, 3)

Correct AnswerverifiedShow Answer

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x) =−(x−6) 2−2f(x) =-(x-6) ^{2}-2f(x) =−(x−6) 2−2

Correct AnswerverifiedShow Answer

Compute and simplify the difference quotient f(x+h) −f(x) h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h) −f(x) ​,h=0 - f(x) =2x2+7xf ( x ) = 2 x ^ { 2 } + 7 xf(x) =2x2+7x

Correct AnswerverifiedShow Answer

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x) =13∣−x∣f ( x ) = \frac { 1 } { 3 } | - x |f(x) =31​∣−x∣

Correct AnswerverifiedShow Answer

Decide whether the relation defines a function. - y=3x−3y = \frac { 3 } { x - 3 }y=x−33​

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Graph the equation by plotting points. - y=(x+1) 3y=(x+1) ^{3}y=(x+1) 3

Correct AnswerverifiedShow Answer

Write an equation for the line described. Give your answer in slope-intercept form. - m=−7\mathrm { m } = - 7m=−7 , through (−4,2) ( - 4,2 ) (−4,2)

Correct AnswerverifiedShow Answer

Give a rule for the piecewise-defined function. Then give the domain and range. -

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) =14xf(x) =\frac{1}{4} xf(x) =41​x

Correct AnswerverifiedShow Answer

For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x) =3x+5,g(x) =9x−16f ( x ) = \sqrt { 3 x + 5 } , g ( x ) = \sqrt { 9 x - 16 }f(x) =3x+5​,g(x) =9x−16​ Find (fg) (x) ( f g ) ( x ) (fg) (x) .

Correct AnswerverifiedShow Answer

Find the specified domain. -Find the domain of (f+g) (x) ( f + g ) ( x ) (f+g) (x) when f(x) =3x+9f ( x ) = 3 x + 9f(x) =3x+9 and g(x) =2x−8g ( x ) = \frac { 2 } { x - 8 }g(x) =x−82​

Correct AnswerverifiedShow Answer

Give the domain and range of the relation. -Find $g ( a + 1 )$ when $g ( x ) = 4 x + 3$

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint $( - 8 , - 9 )$ , endpoint $( - 10 , - 5 )$

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Find the slope of the line and sketch the graph. - $2 x - 3 y = - 3$ $Find the slope of the line and sketch the graph. - 2 x - 3 y = - 3 A) \mathrm { m } = \frac { 2 } { 3 } B) m = - \frac { 3 } { 2 } C) m = - \frac { 2 } { 3 } D) m = \frac { 3 } { 2 }$

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Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 4 x - 16 y - 13 = 0$

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Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x) =-(x-6) ^{2}-2$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x) =-(x-6) ^{2}-2 A) B) C) D)$

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Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = 2 x ^ { 2 } + 7 x$

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Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f ( x ) = \frac { 1 } { 3 } | - x |$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f ( x ) = \frac { 1 } { 3 } | - x | A) B) C) D)$

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Decide whether the relation defines a function. - $y = \frac { 3 } { x - 3 }$

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Graph the equation by plotting points. - $y=(x+1) ^{3}$ $Graph the equation by plotting points. - y=(x+1) ^{3} A) B) C) D)$

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Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 7$ , through $( - 4,2 )$

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For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = \sqrt { 3 x + 5 } , g ( x ) = \sqrt { 9 x - 16 }$ Find $( f g ) ( x )$ .

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Find the specified domain. -Find the domain of $( f + g ) ( x )$ when $f ( x ) = 3 x + 9$ and $g ( x ) = \frac { 2 } { x - 8 }$

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