Question 1

Find the domain and range of the quadratic function whose graph is described.
-The minimum is  −3- 3−3  at  x=−1x = - 1x=−1 .

Accepted Answer

A)   Domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  Range:  (−∞,−3]( - \infty , - 3 ](−∞,−3] 
B)   Domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  Range:  [−3,∞) [ - 3 , \infty ) [−3,∞)  
C)   Domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  Range:  [−1,∞) [ - 1 , \infty ) [−1,∞)  
D)   Domain:  [−1,∞) [ - 1 , \infty ) [−1,∞)  Range:  [−3,∞) [ - 3 , \infty ) [−3,∞)

Question 2

Solve.
-Suppose that a polynomial function is used to model the data shown in the graph below.  Determine the degree of the polynomial function of best fit and the sign of the leading coefficient.

Accepted Answer

A)  Degree 3; positive leading coefficient.
B)  Degree 4; negative leading coefficient.
C)  Degree 4; positive leading coefficient.
D)  Degree 3; negative leading coefficient.

Question 3

Use the vertex and intercepts to sketch the graph of the quadratic function.
- f(x) =x2−6x+5f ( x )  = x ^ { 2 } - 6 x + 5f(x) =x2−6x+5

Accepted Answer

A)  
B)  
C)  
D)    B

Question 4

Find the degree of the polynomial function.
- h(x) =−12x−7h ( x )  = - 12 x - 7h(x) =−12x−7

Accepted Answer

A)   1
B)   2
C)    −12- 12−12 
D)   0

Question 5

Determine whether the function is a polynomial function.
- f(x) =x2−3x4f ( x )  = \frac { x ^ { 2 } - 3 } { x ^ { 4 } }f(x) =x4x2−3​

Accepted Answer

A)  Yes
B)  No  B

Question 6

Determine the maximum possible number of turning points for the graph of the function.
- f(x) =(x+1) (x−2) (x−7) (x−4) f ( x )  = ( x + 1 )  ( x - 2 )  ( x - 7 )  ( x - 4 ) f(x) =(x+1) (x−2) (x−7) (x−4)

Accepted Answer

A)   3
B)   4
C)   1
D)   0  A

Question 7

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

Accepted Answer

A)  not a polynomial function
B)  polynomial function

Question 8

Use the vertex and intercepts to sketch the graph of the quadratic function.
- f(x) =−x2−4x−3f ( x )  = - x ^ { 2 } - 4 x - 3f(x) =−x2−4x−3

Accepted Answer

A)  
B)  
C)  
D)

Question 9

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
-

Accepted Answer

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

Question 10

Find the degree of the polynomial function.
- f(x) =−2x+6x4f ( x )  = - 2 x + 6 x ^ { 4 }f(x) =−2x+6x4

Accepted Answer

A)  1
B)  6
C)  4
D)  -2

Question 11

Find the x-intercepts (if any)  for the graph of the quadratic function.
- f(x) =2x2−2x−4f ( x )  = 2 x ^ { 2 } - 2 x - 4f(x) =2x2−2x−4

Accepted Answer

A)    (−2,0) ( - 2,0 ) (−2,0)   and  (−1,0) ( - 1,0 ) (−1,0)  
B)    (2,0) ( 2,0 ) (2,0)   and  (−1,0) ( - 1,0 ) (−1,0)  
C)    (−2,0) ( - 2,0 ) (−2,0)   and  (1,0) ( 1,0 ) (1,0)  
D)    (2,0) ( 2,0 ) (2,0)   and  (1,0) ( 1,0 ) (1,0)

Question 12

Find the zeros of the polynomial function
- f(x) =2(x+5) (x−2) 3f ( x )  = 2 ( x + 5 )  ( x - 2 )  ^ { 3 }f(x) =2(x+5) (x−2) 3

Accepted Answer

A)    x=5,x=−2,x=3x = 5 , x = - 2 , x = 3x=5,x=−2,x=3 
B)    x=−5,x=3x = - 5 , x = 3x=−5,x=3 
C)    x=−5,x=2x = - 5 , x = 2x=−5,x=2 ,
D)    x=5,x=3x = 5 , x = 3x=5,x=3

Question 13

Determine whether the function is a polynomial function.
- f(x) =x5/4−x3+9f ( x )  = x ^ { 5 / 4 } - x ^ { 3 } + 9f(x) =x5/4−x3+9

Accepted Answer

A)  No
B)  Yes

Question 14

Solve.
-Suppose that a polynomial function is used to model the data shown in the graph below.  For what intervals is the function increasing?

Accepted Answer

A)  0 through 20 and 30 through 50
B)  0 through 50
C)  0 through 10 and 40 through 50
D)  0 through 10 and 30 through 50

Question 15

Solve.
-Suppose that a polynomial function is used to model the data shown in the graph below.  For what intervals is the function decreasing?

Accepted Answer

A)  10 through 50
B)  0 through 10 and 25 through 40
C)  10 through 25 and 40 through 50
D)  10 through 25 and 40 through 45

Question 16

Determine whether the function is a polynomial function.
- f(x) =20x8−4x+8xf ( x )  = 20 x 8 - 4 x + \frac { 8 } { x }f(x) =20x8−4x+x8​

Accepted Answer

A)  Yes
B)  No

Question 17

Use the Leading Coefficient Test to determine the end behavior of the polynomial function.
- f(x) =x+5x2−5x3f ( x )  = x + 5 x ^ { 2 } - 5 x ^ { 3 }f(x) =x+5x2−5x3

Accepted Answer

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

Question 18

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

Accepted Answer

A)  polynomial function
B)  not a polynomial function

Question 19

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)    h(x) =(x−2) 2+2h ( x )  = ( x - 2 )  ^ { 2 } + 2h(x) =(x−2) 2+2 
B)    j(x) =(x−2) 2−2j ( x )  = ( x - 2 )  ^ { 2 } - 2j(x) =(x−2) 2−2 
C)    g(x) =(x+2) 2−2g ( x )  = ( x + 2 )  ^ { 2 } - 2g(x) =(x+2) 2−2 
D)    f(x) =(x+2) 2+2f ( x )  = ( x + 2 )  ^ { 2 } + 2f(x) =(x+2) 2+2

Question 20

Find the x-intercepts (if any)  for the graph of the quadratic function.
- f(x) =2x2−6x+4f ( x )  = 2 x ^ { 2 } - 6 x + 4f(x) =2x2−6x+4

Accepted Answer

A)    (4,0) ( 4,0 ) (4,0)   and  (−0.5,0) ( - 0.5,0 ) (−0.5,0)  
B)    (1,0) ( 1,0 ) (1,0)   and  (−2,0) ( - 2,0 ) (−2,0)  
C)    (1,0) ( 1,0 ) (1,0)   and  (2,0) ( 2,0 ) (2,0)  
D)    (4,0) ( 4,0 ) (4,0)   and  (0.5,0) ( 0.5,0 ) (0.5,0)

Exam 3: Polynomial and Rational Functions

Find the domain and range of the quadratic function whose graph is described. -The minimum is $- 3$ at $x = - 1$ .

Correct Answer
verified

Solve. -Suppose that a polynomial function is used to model the data shown in the graph below. Determine the degree of the polynomial function of best fit and the sign of the leading coefficient.

Correct Answer
verified

Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = x ^ { 2 } - 6 x + 5$ $Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = x ^ { 2 } - 6 x + 5 A) B) C) D)$

Correct Answer
verified
B

Find the degree of the polynomial function. - $h ( x ) = - 12 x - 7$

Correct Answer
verified

Determine whether the function is a polynomial function. - $f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 4 } }$

Correct Answer
verified
B

Determine the maximum possible number of turning points for the graph of the function. - $f ( x ) = ( x + 1 ) ( x - 2 ) ( x - 7 ) ( x - 4 )$

Correct Answer
verified
A

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

Correct Answer
verified

Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } - 4 x - 3$ $Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = - x ^ { 2 } - 4 x - 3 A) B) C) D)$

Correct Answer
verified

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. -

Correct Answer
verified

Find the degree of the polynomial function. - $f ( x ) = - 2 x + 6 x ^ { 4 }$

Correct Answer
verified

Find the x-intercepts (if any) for the graph of the quadratic function. - $f ( x ) = 2 x ^ { 2 } - 2 x - 4$

Correct Answer
verified

Find the zeros of the polynomial function - $f ( x ) = 2 ( x + 5 ) ( x - 2 ) ^ { 3 }$

Correct Answer
verified

Determine whether the function is a polynomial function. - $f ( x ) = x ^ { 5 / 4 } - x ^ { 3 } + 9$

Correct Answer
verified

Solve. -Suppose that a polynomial function is used to model the data shown in the graph below. For what intervals is the function increasing?

Correct Answer
verified

Solve. -Suppose that a polynomial function is used to model the data shown in the graph below. For what intervals is the function decreasing?

Correct Answer
verified

Determine whether the function is a polynomial function. - $f ( x ) = 20 x 8 - 4 x + \frac { 8 } { x }$

Correct Answer
verified

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. - $f ( x ) = x + 5 x ^ { 2 } - 5 x ^ { 3 }$

Correct Answer
verified

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

Correct Answer
verified

Correct Answer
verified

Find the x-intercepts (if any) for the graph of the quadratic function. - $f ( x ) = 2 x ^ { 2 } - 6 x + 4$

Correct Answer
verified

Exam 3: Polynomial and Rational Functions

Find the domain and range of the quadratic function whose graph is described. -The minimum is −3- 3−3 at x=−1x = - 1x=−1 .

Correct AnswerverifiedShow Answer

Solve. -Suppose that a polynomial function is used to model the data shown in the graph below. Determine the degree of the polynomial function of best fit and the sign of the leading coefficient.

Correct AnswerverifiedShow Answer

Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x) =x2−6x+5f ( x ) = x ^ { 2 } - 6 x + 5f(x) =x2−6x+5

Correct AnswerverifiedB

Find the degree of the polynomial function. - h(x) =−12x−7h ( x ) = - 12 x - 7h(x) =−12x−7

Correct AnswerverifiedShow Answer

Determine whether the function is a polynomial function. - f(x) =x2−3x4f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 4 } }f(x) =x4x2−3​

Correct AnswerverifiedB

Determine the maximum possible number of turning points for the graph of the function. - f(x) =(x+1) (x−2) (x−7) (x−4) f ( x ) = ( x + 1 ) ( x - 2 ) ( x - 7 ) ( x - 4 ) f(x) =(x+1) (x−2) (x−7) (x−4)

Correct AnswerverifiedA

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

Correct AnswerverifiedShow Answer

Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x) =−x2−4x−3f ( x ) = - x ^ { 2 } - 4 x - 3f(x) =−x2−4x−3

Correct AnswerverifiedShow Answer

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. -

Correct AnswerverifiedShow Answer

Find the degree of the polynomial function. - f(x) =−2x+6x4f ( x ) = - 2 x + 6 x ^ { 4 }f(x) =−2x+6x4

Correct AnswerverifiedShow Answer

Find the x-intercepts (if any) for the graph of the quadratic function. - f(x) =2x2−2x−4f ( x ) = 2 x ^ { 2 } - 2 x - 4f(x) =2x2−2x−4

Correct AnswerverifiedShow Answer

Find the zeros of the polynomial function - f(x) =2(x+5) (x−2) 3f ( x ) = 2 ( x + 5 ) ( x - 2 ) ^ { 3 }f(x) =2(x+5) (x−2) 3

Correct AnswerverifiedShow Answer

Determine whether the function is a polynomial function. - f(x) =x5/4−x3+9f ( x ) = x ^ { 5 / 4 } - x ^ { 3 } + 9f(x) =x5/4−x3+9

Correct AnswerverifiedShow Answer

Solve. -Suppose that a polynomial function is used to model the data shown in the graph below. For what intervals is the function increasing?

Correct AnswerverifiedShow Answer

Solve. -Suppose that a polynomial function is used to model the data shown in the graph below. For what intervals is the function decreasing?

Correct AnswerverifiedShow Answer

Determine whether the function is a polynomial function. - f(x) =20x8−4x+8xf ( x ) = 20 x 8 - 4 x + \frac { 8 } { x }f(x) =20x8−4x+x8​

Correct AnswerverifiedShow Answer

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. - f(x) =x+5x2−5x3f ( x ) = x + 5 x ^ { 2 } - 5 x ^ { 3 }f(x) =x+5x2−5x3

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

The graph of a quadratic function is given. Determine the function's equation. -

Correct AnswerverifiedShow Answer

Find the x-intercepts (if any) for the graph of the quadratic function. - f(x) =2x2−6x+4f ( x ) = 2 x ^ { 2 } - 6 x + 4f(x) =2x2−6x+4

Correct AnswerverifiedShow Answer

Find the domain and range of the quadratic function whose graph is described. -The minimum is $- 3$ at $x = - 1$ .

Correct Answer
verified

Correct Answer
verified

Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = x ^ { 2 } - 6 x + 5$ $Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = x ^ { 2 } - 6 x + 5 A) B) C) D)$

Correct Answer
verified
B

Find the degree of the polynomial function. - $h ( x ) = - 12 x - 7$

Correct Answer
verified

Determine whether the function is a polynomial function. - $f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 4 } }$

Correct Answer
verified
B

Determine the maximum possible number of turning points for the graph of the function. - $f ( x ) = ( x + 1 ) ( x - 2 ) ( x - 7 ) ( x - 4 )$

Correct Answer
verified
A

Correct Answer
verified

Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } - 4 x - 3$ $Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = - x ^ { 2 } - 4 x - 3 A) B) C) D)$

Correct Answer
verified

Correct Answer
verified

Find the degree of the polynomial function. - $f ( x ) = - 2 x + 6 x ^ { 4 }$

Correct Answer
verified

Find the x-intercepts (if any) for the graph of the quadratic function. - $f ( x ) = 2 x ^ { 2 } - 2 x - 4$

Correct Answer
verified

Find the zeros of the polynomial function - $f ( x ) = 2 ( x + 5 ) ( x - 2 ) ^ { 3 }$

Correct Answer
verified

Determine whether the function is a polynomial function. - $f ( x ) = x ^ { 5 / 4 } - x ^ { 3 } + 9$

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Determine whether the function is a polynomial function. - $f ( x ) = 20 x 8 - 4 x + \frac { 8 } { x }$

Correct Answer
verified

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. - $f ( x ) = x + 5 x ^ { 2 } - 5 x ^ { 3 }$

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Find the x-intercepts (if any) for the graph of the quadratic function. - $f ( x ) = 2 x ^ { 2 } - 6 x + 4$

Correct Answer
verified