Project #7938 - Alegebra

See 12 problems below - see more detailed information on the assignment in the attached Word document.  Please solve problems and place answers in the attached Word document.

 

1. (4 pts, work not required; just state your answer choice)  Solve the absolute value inequality

                  | 8 – 5x | ³ 12 and write interval notation for the solution set.                                   

                                                                                                                                          1. _______

A.     [– 4/5, 4]      

B.     [– 4/5, ¥)

C.     (–¥, – 4/5] È [4, ¥)

D.     (–¥, 4] È [–4/5, ¥)

 

 

 

 

2. (4 pts, work not required; just state your answer choice)

Solve the absolute value inequality | 2x – 9 | < 3and write interval notation for the solution set.           

                                                                                                                                          2. _______

A.     (–¥, 3) È (6, ¥)

B.     (–¥, –6) È (–3, ¥)

      C.     (–¥, 6)

D.     (3, 6)

 

 

 

3. (4 pts) Find all of the zeros of the polynomial function and state the multiplicity of each.

                                                                      (no explanation required)                               3. _______

                        f (x) = (x2 81)2

     

A.        –9 with multiplicity 2 and 9 with multiplicity 2

B.         with multiplicity 2 and  with multiplicity 2

C.        –9i with multiplicity 2 and 9i with multiplicity 2      

D.          9 with multiplicity 4

 

 


 

4. (4 pts)  For f (x) =  x5 – 5x2  − 7, use the Intermediate Value Theorem to determine which interval must contain a zero of f.   (no explanation required)                                                                                       4. _______

A.        Between 0 and 1

B.        Between 1 and 2

C.        Between 2 and 3

D.        Between 3 and 4

 

 

 

5. (4 pts) The function f(x) = 0.00303 x2  − 0.576x + 58 relates cholesterol level to heart attack rates for men. The variable x is the cholesterol level, and f(x) is the estimate of  the number of men per 10,000 with cholesterol level of x who suffer a heart attack. Given a cholesterol level of 300, which of the following is the corresponding estimate for the number of men per 10,000 having a heart attack? (no explanation required)                                  5. _______                                                                                                                    

 

A.          68

B.        158

C.        300

D.        504

 

 

6. (4 pts) Solve the inequality x(x + 6)(x − 4) > 0 and express the solution set in interval notation.              

                                                                                                (no explanation required)                             6. ______ 

A.        (–6, ¥)

B.        (0, ¥)

C.        (–¥, –6) È (0, 4)

            D.        (–6, 0) È (4, ¥)                                                                                   

 

 

7. (4 pts) Consider the following graph of a quadratic function y = f(x).                                 7. ______

 

quadupgrid.png

Which of the following is the solution set of the

inequality f(x) ≤ 0 ?

 

That is, for what x values is f(x) ≤ 0 ?           

(no explanation required)

 

      A.     (–¥, –1]

 

      B.     (–¥, 0]

 

      C.     [–3, 1]

     

      D.     [–4, 0]


 

8. (10 pts) Each graph below represents a polynomial function. Complete the following table.

(no explanation required)

 

 

 

 

 

 

 

Graph

4thdegwiggle

5thdeg5zeros

Is the degree of the polynomial odd or even? (choose one)

 

 

Is the leading coefficient of the polynomial positive or negative? (choose one)

 

 

How many real number zeros are there?

 

 

 

9. (10 pts) Solve   ≤ 0 and write interval notation for the solution set.

 

Show careful algebraic work/explanation.

 


 

10. (22 pts)  (No explanations required)

 Let    When factored,

(a) State the domain.

 

(b) Which sketch illustrates the end behavior of the polynomial function?

A.  

 

 

B. 

C.

D.

 

 

Answer:  ________

 

 

(c) State the y-intercept:

 

(d) State the x-intercepts: 

 

(e) State which graph below is the graph of P(x).

 

GRAPH A.  (below)                                                                           GRAPH  B.  (below)

poly1.gif                             poly3.gif          

GRAPH  C.  (below)                                                                          GRAPH  D.  (below)

poly2.gif                              poly4.gif

 

11. (8 pts)  Which of  the following functions is represented by the graph shown below?

Explain your answer choice. Be sure to take the asymptotes and/or intercepts into account in your explanation.

     q4ratlfcn.gif

 

                                                                                                                                                        11. _____

A. 

                                                                                

B. 

 

C.   

 

D. 

 

 


 

12. (22 pts) Let .

 

 

      (a) State the domain.

 

 

 

 

 

 

 

      (b) State the vertical asymptote(s).

 

 

 

 

 

 

 

      (c) State the horizontal asymptote.

 

 

 

 

 

 

 

 

      (d)  State the y-intercept.

 

 

 

 

 

 

 

      (e) State the x-intercept(s).

 

 

 

 

 

Thank you,

Evonne

Subject Mathematics
Due By (Pacific Time) 06/22/2013 06:00 pm
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