Working Independently | The Advantages of Working Independently

I have completed this assignment myself; working independently and not consulting anyone except the instructor.

Working Independently | The Advantages of Working IndependentlyWrite your name here:

Multiple-choice: Select the correct answer and write it in the space provided.
Do not show work; write only one of the letters A, B, C, or D.

  1. (4 pts) Solve using the Quadratic formula: . 1. Ans: __B__
  2. 2
  3. (4 pts) Solve the equation:           2. Ans: __B___
  4. B.
  5. (4 pts) Solve the rational equation: . 3. Ans: ___A__
  6. B.
    D.  No solution
  7. (4 pts) Solve the rational equation: 4. Ans: _D__
  8. 2
    B. 3
    C. 4
    D. 5
  9. (4 pts) Solve the inequality.
    Write the solution using interval notation:                               5. Ans: __C__
  10. B.
  11. (4 pts) Find the minimum or maximum value of ,
    and give the coordinates of the vertex of the parabola.
  12. Ans: _C___
  13. Maximum = 3; vertex (3, 4)
    B. Maximum = 4; vertex (4, 3)
    C.  Minimum = 4; vertex
    D.  None of the above
  14. (4 pts) Find the Vertex and indicate the direction that the parabola opens:
  15. Ans: __B___
  16. Vertex and Opens Up.
    B. Vertex and Opens Up.
    C. Vertex   and Opens Down.
    D. Vertex   and Opens Down.
  17. (4 pts) Simplify: 8. Ans: __C___
  18. 1
    B. -1
  19. (4 pts) Multiply: . 9. Ans: __A__
  20. B. 7
  1. (4 pts) Express in the standard form : 10. Ans: __B__
  2. B.
  3. (4 pts) Find the Vertical Asymptote: 11. Ans: __B___
  4. x=2
    B. x=-2
    C. x=-4
    D. x=4
  5. (4 pts) Find the Horizontal Asymptote: 12. Ans: _C____
  6. x=2
    B. x=-2
    C. x=-1 (Should be y=-1)
    D. x=1
  7. 4 pts) Let f (x) = -2x3+4x2-x+1. Use the Intermediate Value Theorem to determine which interval must contain a zero of f(x).
  1. Ans: __B___
  2. Between 0 and 1
    B. Between 1 and 2
    C. Between 2 and 3
    D. Between 3 and 4
  1. (4 pts) True or False: Let y=f(x) be a polynomial function. The x-intercepts of the function f(x) are the roots of the equation f(x) = 0.

14: Ans._____

  1. (4 pts) True or False. Let y=f(x) be a polynomial function of degree 3.

The function y=f(x) must have at least one real root.                15. Ans: ____

  1. (4 pts) True or False. It is possible for a quadratic equation with real coefficients to have one real and one complex root.
  2. Ans: ____

Working Independently | The Advantages of Working Independently

  1. (6 pts) Consider the graph of the polynomial y=p(x). Answer the following questions. (No explanation needed)

(a) Is the degree of p(x) even or odd?                            Ans: _____

(b) Is the leading coefficient positive or negative?           Ans. ______

(c) How many real number zeros are there?                     Ans: ____

  1. (15 pts) Let . (No explanations required)

(a)  State the y-intercept.

(b) State the x-intercept(s).

(c) State the vertical asymptote(s).

(d) State the horizontal asymptote.

(e) Draw the graph. Show the asymptotes.

  1. (5 pts). Translate this sentence about area into a mathematical equation.

The area A of a regular hexagon is directly proportional to the square of the length s of its side.

  1. (10 pts). Find all solutions, real and complex, of the equation x2-4x+5=0.

Simplify as much as possible and clearly show all the steps.