Question 1

Match the rational function to the graph.

Accepted Answer

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

Question 2

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

Accepted Answer

A)  (-?, 6) ? (9, ?) 
B)  (-?, -9) ? (-9, -6) ? (-6, ?) 
C)  (-?, 6) ? (6, 9) ? (6, ?) 
D)  (-?, 6] ? [6, 9] ? [6, ?) 
A)  (-?, 6) ? (9, ?) 
B)  (-?, -9) ? (-9, -6) ? (-6, ?) 
C)  (-?, 6) ? (6, 9) ? (6, ?) 
D)  (-?, 6] ? [6, 9] ? [6, ?)

Question 3

Use the intermediate value theorem to approximate the real zero in the indicated interval. Approximate to two decimal places if necessary.r

Accepted Answer

The answer of Use the intermediate value theorem to approximate...

Question 4

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

Accepted Answer

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

Question 5

For the polynomial function   , determine whether the graph touches or crosses at the x-intercept (0, 0).

Accepted Answer

A)  touches the x-axis at (0, 0) 
B)  crosses the x-axis at (0, 0) 
C)  touches the x-axis at (14, 0) 
D)  neither 
A)  touches the x-axis at (0, 0) 
B)  crosses the x-axis at (0, 0) 
C)  touches the x-axis at (14, 0) 
D)  neither

Question 6

Match the graph to the polynomial function.

Accepted Answer

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

Question 7

The area of a rectangle is   . If the width of the rectangle is   find the length.

Accepted Answer

The answer of The area of a rectangle is ...

Question 8

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

Accepted Answer

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

Question 9

A rancher has 1,800 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Accepted Answer

The answer of A rancher has 1,800 linear feet of...

Question 10

Find a polynomial of minimum degree with zeros 4, -3 and 5 (of multiplicity 2).

Accepted Answer

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

Question 11

Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Accepted Answer

A)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x - 2)(x + 7) 
B)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x + 2)(x - 7) 
C)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x - 2)(x - 7) 
D)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x + 2)(x + 7) 
A)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x - 2)(x + 7) 
B)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x + 2)(x - 7) 
C)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x - 2)(x - 7) 
D)  x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x + 2)(x + 7)

Question 12

Given that -4 is a zero of the polynomial P(x) =   + 7   + 14x + 8, determine all other zeros and write the polynomial in terms of a product of linear factors.

Accepted Answer

P(x) = (x

Question 13

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

Accepted Answer

A)  vertical asymptote at 5, there is no horizontal asymptote 
B)  vertical asymptote at -5, horizontal asymptote at 5 
C)  vertical asymptote at -5, there is no horizontal asymptote 
D)  vertical asymptote at 5, horizontal asymptote at -5 
A)  vertical asymptote at 5, there is no horizontal asymptote 
B)  vertical asymptote at -5, horizontal asymptote at 5 
C)  vertical asymptote at -5, there is no horizontal asymptote 
D)  vertical asymptote at 5, horizontal asymptote at -5

Question 14

Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

Accepted Answer

The answer of Find all zeros (real and complex). Factor...

Question 15

Find a polynomial of minimum degree that has these zeros.

Accepted Answer

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

Match the rational function to the graph.

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

Use the intermediate value theorem to approximate the real zero in the indicated interval. Approximate to two decimal places if necessary.r

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

For the polynomial function , determine whether the graph touches or crosses at the x-intercept (0, 0).

Match the graph to the polynomial function.

The area of a rectangle is . If the width of the rectangle is find the length.

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

A rancher has 1,800 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Find a polynomial of minimum degree with zeros 4, -3 and 5 (of multiplicity 2).

Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Given that -4 is a zero of the polynomial P(x) = + 7 + 14x + 8, determine all other zeros and write the polynomial in terms of a product of linear factors.

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

Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

Find a polynomial of minimum degree that has these zeros.

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Exam 4: Polynomial and Rational Functions

Match the rational function to the graph.

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

Use the intermediate value theorem to approximate the real zero in the indicated interval. Approximate to two decimal places if necessary.r

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

For the polynomial function , determine whether the graph touches or crosses at the x-intercept (0, 0).

Match the graph to the polynomial function.

The area of a rectangle is . If the width of the rectangle is find the length.

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

A rancher has 1,800 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Find a polynomial of minimum degree with zeros 4, -3 and 5 (of multiplicity 2).

Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Given that -4 is a zero of the polynomial P(x) = + 7 + 14x + 8, determine all other zeros and write the polynomial in terms of a product of linear factors.

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

Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

Find a polynomial of minimum degree that has these zeros.

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