Question 1

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

Accepted Answer

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

Question 2

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D) 
  B

Question 3

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

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No B

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 6

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

Accepted Answer

A) not a polynomial function 
B) polynomial function 
A) not a polynomial function 
B) polynomial function

Question 7

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

Accepted Answer

A) polynomial function 
B) not a polynomial function 
A) polynomial function 
B) not a polynomial function

Question 8

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

Accepted Answer

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

Question 9

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

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 
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 10

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. 
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 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

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 
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 14

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

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 15

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

Accepted Answer

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

Question 16

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 
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 17

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

Accepted Answer

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

Question 18

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

Question 19

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

Accepted Answer

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

Question 20

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

Accepted Answer

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

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

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Exam 3: Polynomial and Rational Functions

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)

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

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

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

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​

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Filters

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

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

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

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

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

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

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

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

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

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

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

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

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