Algebra quiz

Submitted By: work solutions
Submit Date: June 6, 2017, 11:45 pm
Due Date: June 6, 2017, 11:45 pm
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Answer Count: 1
Algebra quiz
Question
Due date: 
06/06/2017 - 23:45
Answer Count: 
1

Question 1

  1.  

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

ƒ(x) = 4x2 – 5x + 4

 

Falls to the left, rises to the right.

 

Falls to the left, falls to the right.

 

Rises to the left, rises to the right.

 

Rises to the left, falls to the right.

 

Falls to the left.

 

5 points  

Question 2

  1.  

Describe the right-hand and the left-hand behavior of the graph of 

t(x) = 4x5 – 7x3 – 13

 

Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.

 

Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.

 

Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. 

 

Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.

 

Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.

 

5 points  

Question 3

  1.  

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

ƒ(x) = 3 – 5x + 3x2 – 5x3

 

Falls to the left, rises to the right.

 

Falls to the left, falls to the right.

 

Rises to the left, rises to the right.

 

Rises to the left, falls to the right.

 

Falls to the left.

 

5 points  

Question 4

  1.  

Select from the following which is the polynomial function that has the given zeroes.

2,-6

 

f(x) = x2 – 4x + 12

 

f(x) = x2 + 4x + 12

 

f(x) = -x2 -4x – 12

 

f(x) = -x2 + 4x – 12

 

f(x) = x2 + 4x – 12

 

5 points  

Question 5

  1.  

Select from the following which is the polynomial function that has the given zeroes.

0,-2,-4

 

f(x) = -x3 + 6x2 + 8x

 

f(x) = x3 – 6x2 + 8x

 

f(x) = x3 + 6x2 + 8x

 

f(x) = x3 – 6x2 – 8x

 

f(x) = x3 + 6x2 – 8x

 

5 points  

Question 6

  1.  

Sketch the graph of the function by finding the zeroes of the polynomial.

f(x) = 2x3 – 10x2 + 12x

 

0,2,3

Algebra Quiz

 

0,2,-3

Algebra Quiz

 

0,-2,3

Algebra Quiz

 

0,2,3

Algebra Quiz

 

0,-2,-3

Algebra Quiz

 

5 points  

Question 7

  1.  

Select the graph of the function and determine the zeroes of the polynomial.

f(x) = x2(x-6)

 

0,6,-6

Algebra Quiz

 

0,6

Algebra Quiz

 

0,-6

Algebra Quiz

 

0,6

Algebra Quiz

 

0,-6

Algebra Quiz

 

5 points  

Question 8

  1.  

Use the Remainder Theorem and Synthetic Division to find the function value.

g(x) = 3x6 + 3x4 – 3x2 + 6, g(0)

 

6

 

3

 

-3

 

8

 

7

 

5 points  

Question 9

  1.  

Use the Remainder Theorem and Synthetic Division to find the function value.

f(x) = 3x3 – 7x + 3, f(5)

 

-343

 

343

 

345

 

340

 

344

 

5 points  

Question 10

  1.  

Use the Remainder Theorem and Synthetic Division to find the function value.

h(x) = x3 – 4x2 – 9x + 7, h(4)

 

-28

 

-27

 

-31

 

-25

 

-29

 

5 points  

Question 11

  1.  

Use synthetic division to divide:

(3x3 – 24x2 + 45x – 54) ÷ (x-6)

 

6x2 – 3x – 9, x ≠ 6

 

6x2 -3x – 9, x ≠ 6

 

3x2 – 6x + 9, x ≠ 6

 

3x2 – 6x – 9, x ≠ 6

 

3x2 + 6x + 9, x ≠ 6

 

5 points  

Question 12

  1.  

Use synthetic division to divide:

(x3 – 27x + 54) ÷ (x – 3)

 

x2 + 3x – 18, x ≠ 3

 

x2 – 3x – 27, x ≠ 3

 

x2 + 9x + 18, x ≠ 3

 

x2 + 9x – 6, x ≠ 3

 

x2 + 6x + 9, x ≠ 3

 

5 points  

Question 13

  1.  

Use synthetic division to divide:

(4x3 – 9x + 16x2 – 36) ÷ (x + 4)

 

4x2 – 9, x ≠ -4

 

4x2 + 9, x ≠ -4

 

-4x2 – 9, x ≠ -4

 

4x3 – 9, x ≠ -4

 

4x3 + 9, x ≠ -4

 

5 points  

Question 14

  1.  

Use synthetic division to divide:

Algebra Quiz

 

5x2 + 45x + 25, x ≠ 1/5

 

16x2 + 80x + 20, x ≠ 1/5

 

100x2 + 45x + 400, x ≠ 1/5

 

20x2 + 180x + 400, x ≠ 1/5

 

4x2 + 21x + 20, x ≠ 1/5

 

5 points  

Question 15

  1.  

Find all of the zeroes of the function.

(x – 3)(x + 9)3

 

-3,9

 

3,9

 

-3,-9

 

-3,3,9

 

3,-9

 

5 points  

Question 16

  1.  

Find all the rational zeroes of the function.

x3 – 12x2 + 41x – 42

 

-2, -3, -7

 

2, 3, 7

 

2, -3, 7

 

-2, 3, 7

 

-2, 3, -7

 

5 points  

Question 17

  1.  

Determine all real zeroes of f.

f(x) = x3 + x2 – 25x – 25

 

-5,1,0

 

5,0,-5

 

-5,-1,5

 

-5,0,0

 

5,-1,0

 

5 points  

Question 18

  1.  

The height, h(x), of a punted rugby ball is given by Algebra Quiz  where x is the horizontal distance in feet from the point where the ball is punted. How far, horizontally, is the ball from the kicker when it is at its highest point?

 

28 feet

 

13 feet

 

18 feet

 

23 feet

 

16 feet

 

5 points  

Question 19

  1.  

The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model.

P(x) = 230 + 40x – 0.5x2

What expenditure for advertising will yield a maximum profit?

 

40

 

0.5

 

230

 

20

 

115

 

5 points  

Question 20

  1.  

The total revenue R earned per day (in dollars) from a pet-sitting service is given by 

R(p) = -10p2 + 130p

where p is the price charged per pet (in dollars).

Find the price that will yield a maximum revenue.

 

$7.5

 

$6.5

 

$8.5

 

$9.5

 

$10.5

Answer

A+++++ Tutorial (Reliable solution Use as a guide only)

Answered By: work solutions
Date: June 6, 2017, 11:47 pm
User Rating: Rated 0 time(s).
Price: $7.91
A+++++ Tutorial (Reliable solution Use as a guide only)
File Preview (Algebra answers 1-20.doc)

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