Question 1

Find the axis of symmetry of the parabola defined by the given quadratic function.
- f(x) =−7(x−3) 2−6f ( x )  = - 7 ( x - 3 )  ^ { 2 } - 6f(x) =−7(x−3) 2−6

Accepted Answer

A)    x=−3x = - 3x=−3 
B)    x=3x = 3x=3 
C)    x=−6x = - 6x=−6 
D)    x=−7x = - 7x=−7

Question 2

Find the axis of symmetry of the parabola defined by the given quadratic function.
- f(x) =11(x−3) 2+5f ( x )  = 11 ( x - 3 )  ^ { 2 } + 5f(x) =11(x−3) 2+5

Accepted Answer

A)    x=−3x = - 3x=−3 
B)    x=3x = 3x=3 
C)    x=11x = 11x=11 
D)    x=5x = 5x=5

Question 3

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
- x4+3x3−10x2=0x ^ { 4 } + 3 x ^ { 3 } - 10 x ^ { 2 } = 0x4+3x3−10x2=0

Accepted Answer

A)   0 , touches the  xxx -axis and turns around;5 , crosses the  xxx -axis; −2- 2−2 , crosses the  xxx -axis
B)   0 , touches the  xxx -axis and turns around;5 , touches the  xxx -axis and turns around; −2- 2−2 , touches the  xxx -axis and turns around
C)   0 , crosses the  xxx -axis; −5- 5−5 , crosses the  xxx -axis;2 , crosses the  xxx -axis
D)   0 , touches the  xxx -axis and turns around; −5- 5−5 , crosses the  xxx -axis;2 , crosses the  xxx -axis

Question 4

Determine whether the graph shown is the graph of a polynomial function.
-

Accepted Answer

A)  not a polynomial function
B)  polynomial function

Question 5

Find the range of the quadratic function.
- f(x) =−5x2+15xf ( x )  = - 5 x ^ { 2 } + 15 xf(x) =−5x2+15x

Accepted Answer

A)    (−∞,32]\left( - \infty , \frac { 3 } { 2 } \right](−∞,23​] 
B)    (−∞,454]\left( - \infty , \frac { 45 } { 4 } \right](−∞,445​] 
C)    (−∞,−32]\left( - \infty , - \frac { 3 } { 2 } \right](−∞,−23​] 
D)    (−∞,−454]\left( - \infty , - \frac { 45 } { 4 } \right](−∞,−445​]

Question 6

Use the vertex and intercepts to sketch the graph of the quadratic function.
- f(x) =−2x−3+x2f ( x )  = - 2 x - 3 + x ^ { 2 }f(x) =−2x−3+x2

Accepted Answer

A)  
B)  
C)  
D)

Question 7

Determine the maximum possible number of turning points for the graph of the function.
- f(x) =x7+3x8f ( x )  = x ^ { 7 } + 3 x ^ { 8 }f(x) =x7+3x8

Accepted Answer

A)   1
B)   7
C)   3
D)   8

Question 8

Find the x-intercepts (if any)  for the graph of the quadratic function.
- f(x) =−x2+7x−12f ( x )  = - x ^ { 2 } + 7 x - 12f(x) =−x2+7x−12

Accepted Answer

A)    (3,0) ( 3,0 ) (3,0)   and  (−4,0) ( - 4,0 ) (−4,0)  
B)   No x-intercepts
C)    (3,0) ( 3,0 ) (3,0)   and  (4,0) ( 4,0 ) (4,0)  
D)    (−3,0) ( - 3,0 ) (−3,0)   and  (−4,0) ( - 4,0 ) (−4,0)

Question 9

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
- f(x) =−x3(x+1) 2(x−6) f ( x )  = - x ^ { 3 } ( x + 1 )  ^ { 2 } ( x - 6 ) f(x) =−x3(x+1) 2(x−6)

Accepted Answer

A)    y\mathrm { y }y -axis symmetry
B)   origin symmetry
C)   neither

Question 10

Find the range of the quadratic function.
- f(x) =2x2+2x−8f ( x )  = 2 x ^ { 2 } + 2 x - 8f(x) =2x2+2x−8

Accepted Answer

A)    (−∞,−12]\left( - \infty , - \frac { 1 } { 2 } \right](−∞,−21​] 
B)    (−∞,−172]\left( - \infty , - \frac { 17 } { 2 } \right](−∞,−217​] 
C)    [−172,∞) \left[ - \frac { 17 } { 2 } , \infty \right) [−217​,∞)  
D)    [−12,∞) \left[ - \frac { 1 } { 2 } , \infty \right) [−21​,∞)

Question 11

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
- f(x) =4x2−x3f ( x )  = 4 x ^ { 2 } - x ^ { 3 }f(x) =4x2−x3

Accepted Answer

A)   y-axis symmetry
B)   origin symmetry
C)   neither

Question 12

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of
the minimum or maximum point.
- f(x) =−2x2+6xf ( x )  = - 2 x ^ { 2 } + 6 xf(x) =−2x2+6x

Accepted Answer

A)   minimum;  (−32,−92) \left( - \frac { 3 } { 2 } , - \frac { 9 } { 2 } \right) (−23​,−29​)  
B)   minimum;  (32,92) \left( \frac { 3 } { 2 } , \frac { 9 } { 2 } \right) (23​,29​)  
C)   maximum;  (−32,−92) \left( - \frac { 3 } { 2 } , - \frac { 9 } { 2 } \right) (−23​,−29​)  
D)   maximum;  (32,92) \left( \frac { 3 } { 2 } , \frac { 9 } { 2 } \right) (23​,29​)

Question 13

Solve the problem
-A herd of moose is introduced to a wildlife refuge. The number of moose,  N(t) \mathrm { N } ( \mathrm { t } ) N(t)  , after  t\mathrm { t }t  years is described by the polynomial function  N(t) =−t3+24t+80N ( t )  = - t ^ { 3 } + 24 t + 80N(t) =−t3+24t+80 . Use the Leading Coefficient Test to determine the graph's end behavior. What does this mean about what will eventually happen to the moose population?

Accepted Answer

A)   The moose population in the refuge will grow out of control.
B)   The moose population in the refuge will reach a constant amount greater than 0 .
C)   The moose population in the refuge will be displaced by "oil" wells.
D)   The moose population in the refuge will die out.

Question 14

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
- f(x) =x3+x2+1f ( x )  = x ^ { 3 } + x ^ { 2 } + 1f(x) =x3+x2+1

Accepted Answer

A)    yyy -axis symmetry
B)   origin symmetry
C)   neither

Question 15

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of
the minimum or maximum point.
- f(x) =2x2−2x−3f ( x )  = 2 x ^ { 2 } - 2 x - 3f(x) =2x2−2x−3

Accepted Answer

A)   maximum;  (12,−72) \left( \frac { 1 } { 2 } , - \frac { 7 } { 2 } \right) (21​,−27​)  
B)   minimum;  (12,−72) \left( \frac { 1 } { 2 } , - \frac { 7 } { 2 } \right) (21​,−27​)  
C)   maximum;  (−72,12) \left( - \frac { 7 } { 2 } , \frac { 1 } { 2 } \right) (−27​,21​)  
D)   minimum;  (−72,12) \left( - \frac { 7 } { 2 } , \frac { 1 } { 2 } \right) (−27​,21​)

Question 16

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
- f(x) =(x+4) 2−8f ( x )  = ( x + 4 )  ^ { 2 } - 8f(x) =(x+4) 2−8

Accepted Answer

A)    (−4,−8) ( - 4 , - 8 ) (−4,−8)  
B)    (4,−8) ( 4 , - 8 ) (4,−8)  
C)    (4,8) ( 4,8 ) (4,8)  
D)    (−4,8) ( - 4,8 ) (−4,8)

Question 17

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
- f(x) =6x2−x3f ( x )  = 6 x ^ { 2 } - x ^ { 3 }f(x) =6x2−x3

Accepted Answer

A)   0 , touches the  xxx -axis and turns around;6 , crosses the  xxx -axis
B)   0 , crosses the  xxx -axis; 6\sqrt { 6 }6c-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'/>​ , crosses the  xxx -axis; −6- \sqrt { 6 }−6c-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'/>​ , crosses the  xxx -axis
C)   0 , touches the  xxx -axis and turns around;6 , touches the  xxx -axis and turns around
D)   0 , touches the  xxx -axis and turns around; 6\sqrt { 6 }6c-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'/>​ , crosses the  xxx -axis; −6- \sqrt { 6 }−6c-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'/>​ , crosses the  xxx -axis

Question 18

Solve the problem
-The following table shows the number of speeding tickets issued in a county for the years 1994-1998, where 1 represents 1995, and so on.

This data can be approximated using the third-degree polynomial
 T(x) =−0.67x3+0.57x2+63.80x+4213T ( x )  = - 0.67 x ^ { 3 } + 0.57 x ^ { 2 } + 63.80 x + 4213T(x) =−0.67x3+0.57x2+63.80x+4213 
Use the Leading Coefficient Test to determine the end behavior to the right for the graph of T. Will this function be useful in modeling the number of speeding tickets issued over an extended period of time? Explain your answer.

Accepted Answer

A)   The graph of T decreases without bound to the right. Since the number of larceny thefts will eventually decrease, the function T will be useful in modeling the number of speeding tickets issued over an extended period of time.
B)   The graph of T decreases without bound to the right. This means that as  xxx  increases, the values of  TTT  will become more and more negative and the function will no longer model the number of speeding tickets issued.
C)   The graph of  TTT  increases without bound to the right. This means that as  xxx  increases, the values of  TTT  will become large and positive and, since the values of T will become so large, the function will no longer model the number of speeding tickets issued.
D)   The graph of  TTT  approaches zero for large values of  xxx . This means that  TTT  will not be useful in modeling the number of speeding tickets issued over an extended period.

Question 19

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior
to match the function with its graph.
- f(x) =4x3−3x2−2x−3f ( x )  = 4 x ^ { 3 } - 3 x ^ { 2 } - 2 x - 3f(x) =4x3−3x2−2x−3

Accepted Answer

A)   falls to the left and rises to the right
B)   rises to the left and falls to the right
C)   falls to the left and falls to the right
D)   rises to the left and rises to the right

Question 20

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
- f(x) =−x2(x+4) (x2+1) f ( x )  = - x ^ { 2 } ( x + 4 )  \left( x ^ { 2 } + 1 \right) f(x) =−x2(x+4) (x2+1)

Accepted Answer

A)   0 , touches the  xxx -axis and turns around;4 , crosses the  xxx -axis
B)   0 , touches the  xxx -axis and turns around;  −4- 4−4 , crosses the  xxx -axis; −1- 1−1 , crosses the x-axis;1, crosses the x-axis;
C)   0 , touches the  xxx -axis and turns around; −4- 4−4 , crosses the  xxx -axis
D)   0 , touches the  xxx -axis and turns around;   −4- 4−4 , crosses the  xxx -axis; −1- 1−1 , touches the  xxx -axis and turns around

Exam 3: Polynomial and Rational Functions

Correct Answer
verified

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - $f ( x ) = x ^ { 3 } + x ^ { 2 } + 1$

Correct Answer
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Find the coordinates of the vertex for the parabola defined by the given quadratic function. - $f ( x ) = ( x + 4 ) ^ { 2 } - 8$

Correct Answer
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Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - $f ( x ) = - x ^ { 3 } ( x + 1 ) ^ { 2 } ( x - 6 )$

Correct Answer
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Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - $f ( x ) = - x ^ { 2 } ( x + 4 ) \left( x ^ { 2 } + 1 \right)$

Correct Answer
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Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = - 2 x - 3 + x ^ { 2 }$ $Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = - 2 x - 3 + x ^ { 2 } A) B) C) D)$

Correct Answer
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Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - $f ( x ) = 4 x ^ { 2 } - x ^ { 3 }$

Correct Answer
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Find the x-intercepts (if any) for the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } + 7 x - 12$

Correct Answer
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Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - $f ( x ) = 6 x ^ { 2 } - x ^ { 3 }$

Correct Answer
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Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = - 7 ( x - 3 ) ^ { 2 } - 6$

Correct Answer
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Correct Answer
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Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = 2 x ^ { 2 } - 2 x - 3$

Correct Answer
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Determine the maximum possible number of turning points for the graph of the function. - $f ( x ) = x ^ { 7 } + 3 x ^ { 8 }$

Correct Answer
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Find the range of the quadratic function. - $f ( x ) = 2 x ^ { 2 } + 2 x - 8$

Correct Answer
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Find the range of the quadratic function. - $f ( x ) = - 5 x ^ { 2 } + 15 x$

Correct Answer
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Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - $f ( x ) = 4 x ^ { 3 } - 3 x ^ { 2 } - 2 x - 3$

Correct Answer
verified

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - $x ^ { 4 } + 3 x ^ { 3 } - 10 x ^ { 2 } = 0$

Correct Answer
verified

Determine whether the graph shown is the graph of a polynomial function. -

Correct Answer
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Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = - 2 x ^ { 2 } + 6 x$

Correct Answer
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Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = 11 ( x - 3 ) ^ { 2 } + 5$

Correct Answer
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Exam 3: Polynomial and Rational Functions

Correct AnswerverifiedShow Answer

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - f(x) =x3+x2+1f ( x ) = x ^ { 3 } + x ^ { 2 } + 1f(x) =x3+x2+1

Correct AnswerverifiedShow Answer

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - f(x) =(x+4) 2−8f ( x ) = ( x + 4 ) ^ { 2 } - 8f(x) =(x+4) 2−8

Correct AnswerverifiedShow Answer

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - f(x) =−x3(x+1) 2(x−6) f ( x ) = - x ^ { 3 } ( x + 1 ) ^ { 2 } ( x - 6 ) f(x) =−x3(x+1) 2(x−6)

Correct AnswerverifiedShow Answer

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - f(x) =−x2(x+4) (x2+1) f ( x ) = - x ^ { 2 } ( x + 4 ) \left( x ^ { 2 } + 1 \right) f(x) =−x2(x+4) (x2+1)

Correct AnswerverifiedShow Answer

Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x) =−2x−3+x2f ( x ) = - 2 x - 3 + x ^ { 2 }f(x) =−2x−3+x2

Correct AnswerverifiedShow Answer

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - f(x) =4x2−x3f ( x ) = 4 x ^ { 2 } - x ^ { 3 }f(x) =4x2−x3

Correct AnswerverifiedShow Answer

Find the x-intercepts (if any) for the graph of the quadratic function. - f(x) =−x2+7x−12f ( x ) = - x ^ { 2 } + 7 x - 12f(x) =−x2+7x−12

Correct AnswerverifiedShow Answer

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - f(x) =6x2−x3f ( x ) = 6 x ^ { 2 } - x ^ { 3 }f(x) =6x2−x3

Correct AnswerverifiedShow Answer

Find the axis of symmetry of the parabola defined by the given quadratic function. - f(x) =−7(x−3) 2−6f ( x ) = - 7 ( x - 3 ) ^ { 2 } - 6f(x) =−7(x−3) 2−6

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - f(x) =2x2−2x−3f ( x ) = 2 x ^ { 2 } - 2 x - 3f(x) =2x2−2x−3

Correct AnswerverifiedShow Answer

Determine the maximum possible number of turning points for the graph of the function. - f(x) =x7+3x8f ( x ) = x ^ { 7 } + 3 x ^ { 8 }f(x) =x7+3x8

Correct AnswerverifiedShow Answer

Find the range of the quadratic function. - f(x) =2x2+2x−8f ( x ) = 2 x ^ { 2 } + 2 x - 8f(x) =2x2+2x−8

Correct AnswerverifiedShow Answer

Find the range of the quadratic function. - f(x) =−5x2+15xf ( x ) = - 5 x ^ { 2 } + 15 xf(x) =−5x2+15x

Correct AnswerverifiedShow Answer

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - f(x) =4x3−3x2−2x−3f ( x ) = 4 x ^ { 3 } - 3 x ^ { 2 } - 2 x - 3f(x) =4x3−3x2−2x−3

Correct AnswerverifiedShow Answer

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - x4+3x3−10x2=0x ^ { 4 } + 3 x ^ { 3 } - 10 x ^ { 2 } = 0x4+3x3−10x2=0

Correct AnswerverifiedShow Answer

Determine whether the graph shown is the graph of a polynomial function. -

Correct AnswerverifiedShow Answer

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - f(x) =−2x2+6xf ( x ) = - 2 x ^ { 2 } + 6 xf(x) =−2x2+6x

Correct AnswerverifiedShow Answer

Find the axis of symmetry of the parabola defined by the given quadratic function. - f(x) =11(x−3) 2+5f ( x ) = 11 ( x - 3 ) ^ { 2 } + 5f(x) =11(x−3) 2+5

Correct AnswerverifiedShow Answer

Correct Answer
verified

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - $f ( x ) = x ^ { 3 } + x ^ { 2 } + 1$

Correct Answer
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Find the coordinates of the vertex for the parabola defined by the given quadratic function. - $f ( x ) = ( x + 4 ) ^ { 2 } - 8$

Correct Answer
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Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - $f ( x ) = - x ^ { 3 } ( x + 1 ) ^ { 2 } ( x - 6 )$

Correct Answer
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Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - $f ( x ) = - x ^ { 2 } ( x + 4 ) \left( x ^ { 2 } + 1 \right)$

Correct Answer
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Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = - 2 x - 3 + x ^ { 2 }$ $Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = - 2 x - 3 + x ^ { 2 } A) B) C) D)$

Correct Answer
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Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. - $f ( x ) = 4 x ^ { 2 } - x ^ { 3 }$

Correct Answer
verified

Find the x-intercepts (if any) for the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } + 7 x - 12$

Correct Answer
verified

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - $f ( x ) = 6 x ^ { 2 } - x ^ { 3 }$

Correct Answer
verified

Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = - 7 ( x - 3 ) ^ { 2 } - 6$

Correct Answer
verified

Correct Answer
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Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = 2 x ^ { 2 } - 2 x - 3$

Correct Answer
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Determine the maximum possible number of turning points for the graph of the function. - $f ( x ) = x ^ { 7 } + 3 x ^ { 8 }$

Correct Answer
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Find the range of the quadratic function. - $f ( x ) = 2 x ^ { 2 } + 2 x - 8$

Correct Answer
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Find the range of the quadratic function. - $f ( x ) = - 5 x ^ { 2 } + 15 x$

Correct Answer
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Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - $f ( x ) = 4 x ^ { 3 } - 3 x ^ { 2 } - 2 x - 3$

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Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. - $x ^ { 4 } + 3 x ^ { 3 } - 10 x ^ { 2 } = 0$

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Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = - 2 x ^ { 2 } + 6 x$

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Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = 11 ( x - 3 ) ^ { 2 } + 5$

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