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Determine whether the function is a polynomial function. - f(x) =9x35f ( x ) = \frac { 9 - x ^ { 3 } } { 5 }


A) 3
B) 15- \frac { 1 } { 5 }
C) 0
D) 9

E) A) and B)
F) B) and C)

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Find the zeros of the polynomial function. - f(x) =x3+10x2+25xf ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 25 x


A) x=0,x=5x = 0 , x = - 5
B) x=0,x=5x = 0 , x = 5
C) x=1,x=5x = 1 , x = - 5
D) x=0,x=5,x=5x = 0 , x = 5 , x = - 5

E) C) and D)
F) A) and C)

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Write an equation that expresses the relationship. Use k as the constant of variation. -If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 15 kilograms accelerates at a rate of 2 meters per second per second by a force, find the rate of acceleration of an object with a mass of 3 kilograms that is pulled by the same force.


A) 10 meters per second per second
B) 25\frac { 2 } { 5 } meters per second per second
C) 8 meters per second per second
D) 5 meters per second per second

E) None of the above
F) A) and B)

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Divide using long division. - (5x438x3+22x211x+28) ÷(7x) \left( 5 x ^ { 4 } - 38 x ^ { 3 } + 22 x ^ { 2 } - 11 x + 28 \right) \div ( 7 - x )


A) 5x3+3x2x+4- 5 x ^ { 3 } + 3 x ^ { 2 } - x + 4
B) 5x3+3x2x4- 5 x ^ { 3 } + 3 x ^ { 2 } - x - 4
C) 5x3+3x2x4+567- 5 x ^ { 3 } + 3 x ^ { 2 } - x - 4 + \frac { 56 } { 7 }
D) 5x3+3x2+x4- 5 x ^ { 3 } + 3 x ^ { 2 } + x - 4

E) C) and D)
F) All of the above

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The graph of a quadratic function is given. Determine the function's equation. - The graph of a quadratic function is given. Determine the function's equation. -  A)   h ( x )  = x ^ { 2 } - 2  B)   g ( x )  = x ^ { 2 } + 4 x + 4  C)   f ( x )  = x ^ { 2 } - 4 x + 4  D)   j ( x )  = x ^ { 2 } + 2


A) h(x) =x22h ( x ) = x ^ { 2 } - 2
B) g(x) =x2+4x+4g ( x ) = x ^ { 2 } + 4 x + 4
C) f(x) =x24x+4f ( x ) = x ^ { 2 } - 4 x + 4
D) j(x) =x2+2j ( x ) = x ^ { 2 } + 2

E) B) and D)
F) None of the above

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Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. - f(x) =5(x+3) (x5) 3f ( x ) = 5 ( x + 3 ) ( x - 5 ) ^ { 3 }


A) 3- 3 , multiplicity 1 , crosses xx -axis; 5 , multiplicity 3 , crosses xx -axis
B) 3, multiplicity 1 , crosses xx -axis; 5- 5 , multiplicity 3 , crosses xx -axis
C) -3, multiplicity 1 , crosses xx -axis; 5 , multiplicity 3 , touches xx -axis and turns around
D) 3 , multiplicity 1 , touches xx -axis; 5- 5 , multiplicity 3 , touches xx -axis and turns around

E) None of the above
F) A) and B)

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Find the indicated intercept(s) of the graph of the function. - xx -intercepts of f(x) =(x8) (2x+5) x2+2x4f ( x ) = \frac { ( x - 8 ) ( 2 x + 5 ) } { x ^ { 2 } + 2 x - 4 }


A) (8,0) ( 8,0 ) and (52,0) \left( - \frac { 5 } { 2 } , 0 \right)
B) (8,0) ( - 8,0 ) and (52,0) \left( \frac { 5 } { 2 } , 0 \right)
C) (8,0) ( 8,0 ) and (5,0) ( - 5,0 )
D) none

E) None of the above
F) A) and D)

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Use transformations of f(x) f(x) =1x or f(x) =1x2f ( x ) = \frac { 1 } { x } \text { or } f ( x ) = \frac { 1 } { x ^ { 2 } } to graph the rational function. - f(x) =1(x+4) 2+3f ( x ) = \frac { 1 } { ( x + 4 ) ^ { 2 } } + 3  Use transformations of f(x)   f ( x )  = \frac { 1 } { x } \text { or } f ( x )  = \frac { 1 } { x ^ { 2 } }  to graph the rational function. - f ( x )  = \frac { 1 } { ( x + 4 )  ^ { 2 } } + 3    A)    B)    C)    D)


A)
 Use transformations of f(x)   f ( x )  = \frac { 1 } { x } \text { or } f ( x )  = \frac { 1 } { x ^ { 2 } }  to graph the rational function. - f ( x )  = \frac { 1 } { ( x + 4 )  ^ { 2 } } + 3    A)    B)    C)    D)
B)
 Use transformations of f(x)   f ( x )  = \frac { 1 } { x } \text { or } f ( x )  = \frac { 1 } { x ^ { 2 } }  to graph the rational function. - f ( x )  = \frac { 1 } { ( x + 4 )  ^ { 2 } } + 3    A)    B)    C)    D)
C)
 Use transformations of f(x)   f ( x )  = \frac { 1 } { x } \text { or } f ( x )  = \frac { 1 } { x ^ { 2 } }  to graph the rational function. - f ( x )  = \frac { 1 } { ( x + 4 )  ^ { 2 } } + 3    A)    B)    C)    D)
D)
 Use transformations of f(x)   f ( x )  = \frac { 1 } { x } \text { or } f ( x )  = \frac { 1 } { x ^ { 2 } }  to graph the rational function. - f ( x )  = \frac { 1 } { ( x + 4 )  ^ { 2 } } + 3    A)    B)    C)    D)

E) All of the above
F) B) and C)

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Find the x-intercepts (if any) for the graph of the quadratic function. - f(x) =6+5x+x2f ( x ) = 6 + 5 x + x ^ { 2 }


A) (3,0) ( - 3,0 ) and (2,0) ( - 2,0 )
B) (3,0) ( 3,0 ) and (2,0) ( 2,0 )
C) (3,0) ( 3,0 ) and (2,0) ( - 2,0 )
D) (3,0) ( - 3,0 ) and (2,0) ( 2,0 )

E) B) and D)
F) None of the above

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Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a solution of the equation. Then solve the polynomial equation. - x3+6x2+11x+6=0x^{3}+6 x^{2}+11 x+6=0  Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a solution of the equation. Then solve the polynomial equation. - x^{3}+6 x^{2}+11 x+6=0     A)   - 1 ; The remainder is zero;  - 1 , - 2 , and  - 3 , or  \{ - 3 , - 2 , - 1 \}  B)   - 1 ; The remainder is zero;  1 , - 2 , and  - 3 , or  \{ - 3 , - 2,1 \}  C)   - 1 ; The remainder is zero;  - 1,2 , and  - 3 , or  \{ - 3 , - 1,2 \}  D)   - 1 ; The remainder is zero;  - 1 , - 2 , and 3 , or  \{ - 2 , - 1,3 \}


A) 1- 1 ; The remainder is zero; 1,2- 1 , - 2 , and 3- 3 , or {3,2,1}\{ - 3 , - 2 , - 1 \}
B) 1- 1 ; The remainder is zero; 1,21 , - 2 , and 3- 3 , or {3,2,1}\{ - 3 , - 2,1 \}
C) 1- 1 ; The remainder is zero; 1,2- 1,2 , and 3- 3 , or {3,1,2}\{ - 3 , - 1,2 \}
D) 1- 1 ; The remainder is zero; 1,2- 1 , - 2 , and 3 , or {2,1,3}\{ - 2 , - 1,3 \}

E) None of the above
F) B) and D)

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Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. -Crosses the xx -axis at 1,0- 1,0 , and 4 ; lies below the xx -axis between 1- 1 and 0 ; lies above the xx -axis between 0 and 4.4 .


A) f(x) =x3+3x2+4xf ( x ) = - x ^ { 3 } + 3 x ^ { 2 } + 4 x
B) f(x) =x33x2+4xf ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 4 x
C) f(x) =x33x24xf ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 4 x
D) f(x) =x3+3x24xf ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 4 x

E) None of the above
F) B) and C)

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Determine the constant of variation for the stated condition. - y\mathrm { y } varies directly as z\mathrm { z } and y=180\mathrm { y } = 180 when z=12\mathrm { z } = 12 . Find y\mathrm { y } when z=13\mathrm { z } = 13 .


A) 195
B) 169
C) 225
D) 144

E) A) and B)
F) All of the above

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Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. - xx+3>0\frac { x } { x + 3 } > 0  Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. - \frac { x } { x + 3 } > 0    A)   ( - \infty , - 3 )   or  ( 0 , \infty )     B)   ( - 3,0 ]    C)   ( - \infty , - 3 ]  or  [ 0 , \infty )     D)   ( 0 , \infty )


A) (,3) ( - \infty , - 3 ) or (0,) ( 0 , \infty )
 Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. - \frac { x } { x + 3 } > 0    A)   ( - \infty , - 3 )   or  ( 0 , \infty )     B)   ( - 3,0 ]    C)   ( - \infty , - 3 ]  or  [ 0 , \infty )     D)   ( 0 , \infty )
B) (3,0]( - 3,0 ]
 Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. - \frac { x } { x + 3 } > 0    A)   ( - \infty , - 3 )   or  ( 0 , \infty )     B)   ( - 3,0 ]    C)   ( - \infty , - 3 ]  or  [ 0 , \infty )     D)   ( 0 , \infty )
C) (,3]( - \infty , - 3 ] or [0,) [ 0 , \infty )
 Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. - \frac { x } { x + 3 } > 0    A)   ( - \infty , - 3 )   or  ( 0 , \infty )     B)   ( - 3,0 ]    C)   ( - \infty , - 3 ]  or  [ 0 , \infty )     D)   ( 0 , \infty )
D) (0,) ( 0 , \infty )
 Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. - \frac { x } { x + 3 } > 0    A)   ( - \infty , - 3 )   or  ( 0 , \infty )     B)   ( - 3,0 ]    C)   ( - \infty , - 3 ]  or  [ 0 , \infty )     D)   ( 0 , \infty )

E) A) and B)
F) A) and C)

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Determine whether the function is a polynomial function. - f(x) =πx3+7x2+4f ( x ) = \pi x ^ { 3 } + 7 x ^ { 2 } + 4


A) Yes
B) No

C) A) and B)
D) undefined

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Find the x-intercepts (if any) for the graph of the quadratic function. - f(x) =(x+3) 29f ( x ) = ( x + 3 ) ^ { 2 } - 9


A) (0,0) ( 0,0 ) and (6,0) ( - 6,0 )
B) (0,0) ( 0,0 ) and (6,0) ( 6,0 )
C) (0,0) ( 0,0 ) and (9,0) ( - 9,0 )
D) (6,0) ( 6,0 ) and (6,0) ( - 6,0 )

E) B) and C)
F) C) and D)

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Determine the maximum possible number of turning points for the graph of the function. - f(x) =(x2) (x1) (5x7) f ( x ) = ( x - 2 ) ( x - 1 ) ( 5 x - 7 )


A) 2
B) 5
C) 3
D) 0

E) A) and C)
F) All of the above

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Solve the problem. -The revenue achieved by selling x graphing calculators is figured to be x(42 - 0.5x) dollars. The cost of each calculator is $22. How many graphing calculators must be sold to make a profit (revenue - cost) of at least $182.00?


A) between 14 and 26 calculators
B) between 19 and 31 calculators
C) between 15 and 25 calculators
D) between 16 and 24 calculators

E) C) and D)
F) A) and B)

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Write an equation that expresses the relationship. Use k as the constant of variation. -a varies inversely as the square of yy .


A) a=kv2a = \frac { k } { v ^ { 2 } }
B) a=y2ka = \frac { y ^ { 2 } } { k }
C) a=kya = \frac { k } { \sqrt { y } }
D) a=yka = \frac { \sqrt { y } } { k } If y varies inversely as x, find the inverse variation equation for the situation.

E) C) and D)
F) A) and B)

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Determine the constant of variation for the stated condition. -If yy varies directly as the cube of xx , and y=5y = 5 when x=2x = 2 , find yy when x=8x = 8 .


A) 320
B) 20
C) 54\frac { 5 } { 4 }
D) 564\frac { 5 } { 64 }

E) C) and D)
F) A) and B)

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Divide using synthetic division. - x5+x23x2\frac { x ^ { 5 } + x ^ { 2 } - 3 } { x - 2 }


A) x4+2x3+4x2+9x+18+33x2x ^ { 4 } + 2 x ^ { 3 } + 4 x ^ { 2 } + 9 x + 18 + \frac { 33 } { x - 2 }
B) x4+2x3+5x2+10x+20+37x2x ^ { 4 } + 2 x ^ { 3 } + 5 x ^ { 2 } + 10 x + 20 + \frac { 37 } { x - 2 }
C) x4+3x2+3x2x ^ { 4 } + 3 x ^ { 2 } + \frac { 3 } { x - 2 }
D) x4+3+3x2x ^ { 4 } + 3 + \frac { 3 } { x - 2 }

E) B) and C)
F) A) and D)

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