Question 1

For the given graph of the rational function determine: (a) all intercepts, (b) all asymptotes, and (c) equation of the rational function.

Accepted Answer

The answer of For the given graph of the rational...

Question 2

Find a polynomial of minimum degree with zeros 0, 10 +   , and 10 -   .

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

For the polynomial function   , find the y-intercept.

Accepted Answer

A)  (0, -48) 
B)  (0, -96) 
C)  (0, 48) 
D)  (0, 2) 
A)  (0, -48) 
B)  (0, -96) 
C)  (0, 48) 
D)  (0, 2)

Question 5

Match the polynomial function with its graph.

Accepted Answer

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

Question 6

Use Descartes' rule of signs along with the rational root theorem to sketch a graph of the polynomial.

Accepted Answer

The answer of Use Descartes' rule of signs along with...

Question 7

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

Accepted Answer

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

Question 8

Find a polynomial of minimum degree that has zeros -9, 0 (multiplicity 2) and 7.

Accepted Answer

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

Question 9

Use long division to divide the polynomials. Express the answers in the form of   and

Accepted Answer

A)  Q(x) = x + 2; r(x) = 10 
B)  Q(x) = x + 2; r(x) = 0 
C)  Q(x) =   + 4x + 13; r(x) = 10 
D)  Q(x) = x + 2; r(x) = -10 
A)  Q(x) = x + 2; r(x) = 10 
B)  Q(x) = x + 2; r(x) = 0 
C)  Q(x) =   + 4x + 13; r(x) = 10 
D)  Q(x) = x + 2; r(x) = -10

Question 10

Use the graphing strategy to graph the rational function.
f (x) =

Accepted Answer

The answer of Use the graphing strategy to graph the...

Question 11

Given that 4 is a zero of the polynomial P(x) =   - 11   + 34x - 24, determine all other zeros.

Accepted Answer

A)  -6 and 1 
B)  6 and 1 
C)  -6 and -1 
D)  6 and -1 
A)  -6 and 1 
B)  6 and 1 
C)  -6 and -1 
D)  6 and -1

Question 12

Sketch the graph of the polynomial function.

Accepted Answer

The answer of Sketch the graph of the polynomial function.
...

Question 13

For the rational function f (x) =   , find the equation of the slant asymptote.

Accepted Answer

Slant asym

Question 14

Find a polynomial of minimum degree that has the zeros   (with multiplicity 2) and -   (with multiplicity 2).

Accepted Answer

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

Question 15

Use the rational zero theorem to list the possible rational zeros.

Accepted Answer

{±1, ±11,

Question 16

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Accepted Answer

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

Question 17

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Accepted Answer

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

Question 18

Match the polynomial function with its graph.

Accepted Answer

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

Question 19

Find a polynomial of minimum degree that has the zeros   (with multiplicity 2) and -   (with multiplicity 2).

Accepted Answer

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

Question 20

Divide the polynomials by either long division or synthetic division.

Accepted Answer

The answer of Divide the polynomials by either long division...

For the given graph of the rational function determine: (a) all intercepts, (b) all asymptotes, and (c) equation of the rational function.

Find a polynomial of minimum degree with zeros 0, 10 + , and 10 - .

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

For the polynomial function , find the y-intercept.

Match the polynomial function with its graph.

Use Descartes' rule of signs along with the rational root theorem to sketch a graph of the polynomial.

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

Find a polynomial of minimum degree that has zeros -9, 0 (multiplicity 2) and 7.

Use long division to divide the polynomials. Express the answers in the form of and

Use the graphing strategy to graph the rational function. f (x) =

Given that 4 is a zero of the polynomial P(x) = - 11 + 34x - 24, determine all other zeros.

Sketch the graph of the polynomial function.

For the rational function f (x) = , find the equation of the slant asymptote.

Find a polynomial of minimum degree that has the zeros (with multiplicity 2) and - (with multiplicity 2).

Use the rational zero theorem to list the possible rational zeros.

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Match the polynomial function with its graph.

Find a polynomial of minimum degree that has the zeros (with multiplicity 2) and - (with multiplicity 2).

Divide the polynomials by either long division or synthetic division.

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Exam 4: Polynomial and Rational Functions

For the given graph of the rational function determine: (a) all intercepts, (b) all asymptotes, and (c) equation of the rational function.

Find a polynomial of minimum degree with zeros 0, 10 + , and 10 - .

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

For the polynomial function , find the y-intercept.

Match the polynomial function with its graph.

Use Descartes' rule of signs along with the rational root theorem to sketch a graph of the polynomial.

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

Find a polynomial of minimum degree that has zeros -9, 0 (multiplicity 2) and 7.

Use long division to divide the polynomials. Express the answers in the form of and

Use the graphing strategy to graph the rational function. f (x) =

Given that 4 is a zero of the polynomial P(x) = - 11 + 34x - 24, determine all other zeros.

Sketch the graph of the polynomial function.

For the rational function f (x) = , find the equation of the slant asymptote.

Find a polynomial of minimum degree that has the zeros (with multiplicity 2) and - (with multiplicity 2).

Use the rational zero theorem to list the possible rational zeros.

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Match the polynomial function with its graph.

Find a polynomial of minimum degree that has the zeros (with multiplicity 2) and - (with multiplicity 2).

Divide the polynomials by either long division or synthetic division.

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