Question 1

Graph the function by transforming a power function y = xn.

Accepted Answer

Question 2

Determine if the function f   is a polynomial. If it is, state the degree.

Accepted Answer

A)  Not a polynomial 
B)  a polynomial of degree 17 
C)  a polynomial of degree 39 
D)  a polynomial of degree -39 
A)  Not a polynomial 
B)  a polynomial of degree 17 
C)  a polynomial of degree 39 
D)  a polynomial of degree -39

Question 3

Find the vertex of the parabola associated with the quadratic function.
Y =   + 23

Accepted Answer

A)  (-1, -23) 
B)  (1, -23) 
C)  (-1, 23) 
D)  (1, 23) 
A)  (-1, -23) 
B)  (1, -23) 
C)  (-1, 23) 
D)  (1, 23)

Question 4

Use long division to divide

Accepted Answer

The answer of Use long division to divide  ...

Question 5

Find the vertex of the parabola associated with the quadratic function.
Y = -   + 4x + 6

Accepted Answer

A)  (-2, 34) 
B)  (2, 10) 
C)  (2, 34) 
D)  (-2, 10) 
A)  (-2, 34) 
B)  (2, 10) 
C)  (2, 34) 
D)  (-2, 10)

Question 6

For the polynomial function   , find the y-intercept.

Accepted Answer

A)  (1, 0) 
B)  (-1, 0) 
C)  (0, 0) 
D)  (0, 1) 
A)  (1, 0) 
B)  (-1, 0) 
C)  (0, 0) 
D)  (0, 1)

Question 7

Find a polynomial of minimum degree that has these zeros.

Accepted Answer

The answer of Find a polynomial of minimum degree that...

Question 8

Factor the polynomial as a product of linear factors.

Accepted Answer

P(x) = [x

Question 9

The concentration of a drug in the bloodstream, measured in parts per million, can be modeled with a quadratic function. In 67 minutes the concentration is 49.266 parts per million. The maximum concentration of the drug in the bloodstream occurs in 300 minutes and is 375 parts per million.
-Find a quadratic function that models the concentration of the drug as a function of time in minutes.

Accepted Answer

The answer of The concentration of a drug in the...

Question 10

Rewrite the quadratic equation in standard form by completing the square.

Accepted Answer

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

Question 11

Find the vertex of the parabola associated with the quadratic equation.
Y =   - 3

Accepted Answer

A)  (-1/2, -3) 
B)  (1/2, -3) 
C)  (-1/2, 3) 
D)  (1/2, 3) 
A)  (-1/2, -3) 
B)  (1/2, -3) 
C)  (-1/2, 3) 
D)  (1/2, 3)

Question 12

Graph the quadratic function given in standard form.

Accepted Answer

The answer of Graph the quadratic function given in standard...

Question 13

For the rational function f (x) =   , find all the vertical asymptotes and horizontal asymptotes.

Accepted Answer

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

Question 14

For the polynomial function, (a) list each real zero and its multiplicity; (b) determine whether the graph touches or crosses at each x-intercept; (c) find the y-intercept; (d) determine the end behavior; and (e) sketch the graph.

Accepted Answer

The answer of For the polynomial function, (a) list each...

Question 15

Find the domain of the rational function f (x) =   .

Accepted Answer

A)  (-?, 1/9) ? (1/9, ?) 
B)  (-?, 0) ? (0, 1/9) ? (1/9, ?) 
C)  (1/9, ?) 
D)  (-?, -5/7) ? (-5/7, ?) 
A)  (-?, 1/9) ? (1/9, ?) 
B)  (-?, 0) ? (0, 1/9) ? (1/9, ?) 
C)  (1/9, ?) 
D)  (-?, -5/7) ? (-5/7, ?)

Question 16

Find the domain of the function f (x) =   .

Accepted Answer

A)  (-5, 5) 
B)  (-?, -5) ? (-5, 5) ? (5, ?) 
C)  (-?, -5) ? (5, ?) 
D)  (-?, ?) 
A)  (-5, 5) 
B)  (-?, -5) ? (-5, 5) ? (5, ?) 
C)  (-?, -5) ? (5, ?) 
D)  (-?, ?)

Question 17

Use the rational zero theorem to list the possible rational zeros.P(x) = 4   - 8   + 11x - 55

Accepted Answer

The answer of Use the rational zero theorem to list...

Question 18

Use the rational zero theorem to list the possible rational zeros of the polynomial

Accepted Answer

A)  {±1/3, ±1/11, ±1/7, ±1/33, ±1/77, ±1/21, ±1/231} 
B)  {±1, ±3, ±11, ±7} 
C)  {±1, ±3, ±11, ±7, ±33, ±77, ±21, ±231} 
D)  {±1/3, ±1/11, ±1/7} 
A)  {±1/3, ±1/11, ±1/7, ±1/33, ±1/77, ±1/21, ±1/231} 
B)  {±1, ±3, ±11, ±7} 
C)  {±1, ±3, ±11, ±7, ±33, ±77, ±21, ±231} 
D)  {±1/3, ±1/11, ±1/7}

Question 19

Graph the quadratic function.

Accepted Answer

The answer of Graph the quadratic function.  ...

Question 20

Find the vertex of the parabola associated with the quadratic function.
y = -4   + 76x - 370.5

Accepted Answer

The answer of Find the vertex of the parabola associated...

Graph the function by transforming a power function y = xⁿ.

Determine if the function f is a polynomial. If it is, state the degree.

Find the vertex of the parabola associated with the quadratic function. Y = + 23

Use long division to divide

Find the vertex of the parabola associated with the quadratic function. Y = - + 4x + 6

For the polynomial function , find the y-intercept.

Find a polynomial of minimum degree that has these zeros.

Factor the polynomial as a product of linear factors.

Rewrite the quadratic equation in standard form by completing the square.

Find the vertex of the parabola associated with the quadratic equation. Y = - 3

Graph the quadratic function given in standard form.

For the rational function f (x) = , find all the vertical asymptotes and horizontal asymptotes.

For the polynomial function, (a) list each real zero and its multiplicity; (b) determine whether the graph touches or crosses at each x-intercept; (c) find the y-intercept; (d) determine the end behavior; and (e) sketch the graph.

Find the domain of the rational function f (x) = .

Find the domain of the function f (x) = .

Use the rational zero theorem to list the possible rational zeros.P(x) = 4 - 8 + 11x - 55

Use the rational zero theorem to list the possible rational zeros of the polynomial

Graph the quadratic function.

Find the vertex of the parabola associated with the quadratic function. y = -4 + 76x - 370.5

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Exam 4: Polynomial and Rational Functions

Graph the function by transforming a power function y = xn.

Determine if the function f is a polynomial. If it is, state the degree.

Find the vertex of the parabola associated with the quadratic function. Y = + 23

Use long division to divide

Find the vertex of the parabola associated with the quadratic function. Y = - + 4x + 6

For the polynomial function , find the y-intercept.

Find a polynomial of minimum degree that has these zeros.

Factor the polynomial as a product of linear factors.

Rewrite the quadratic equation in standard form by completing the square.

Find the vertex of the parabola associated with the quadratic equation. Y = - 3

Graph the quadratic function given in standard form.

For the rational function f (x) = , find all the vertical asymptotes and horizontal asymptotes.

For the polynomial function, (a) list each real zero and its multiplicity; (b) determine whether the graph touches or crosses at each x-intercept; (c) find the y-intercept; (d) determine the end behavior; and (e) sketch the graph.

Find the domain of the rational function f (x) = .

Find the domain of the function f (x) = .

Use the rational zero theorem to list the possible rational zeros.P(x) = 4 - 8 + 11x - 55

Use the rational zero theorem to list the possible rational zeros of the polynomial

Graph the quadratic function.

Find the vertex of the parabola associated with the quadratic function. y = -4 + 76x - 370.5

Equations and Inequalities

Graphs

Functions and Their Graphs

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters

Graph the function by transforming a power function y = xⁿ.