Please Solve

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

Write 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.

 

01. (4 pts) Solve using the Quadratic formula: . 1. Ans: __B__ 

 

A. 2 B. C. D. 

 

02. (4 pts) Solve the equation: 2. Ans: __B___ 

 

A. B. C. D. 

 

03. (4 pts) Solve the rational equation: . 3. Ans: ___A__ 

 

A. B. C. D. No solution 

 

04. (4 pts) Solve the rational equation: 4. Ans: _D__ 

A. 2 B. 3 C. 4 D. 5

 

05. (4 pts) Solve the inequality. Write the solution using interval notation: 5. Ans: __C__ 

 

A. B. C. D. 

 

06. (4 pts) Find the minimum or maximum value of, and give the coordinates of the vertex of the parabola. 

6. Ans: _C___

 

A. Maximum = 3; vertex (3, 4) B. Maximum = 4; vertex (4, 3) C. Minimum = 4; vertex D. None of the above 

 

07. (4 pts) Find the Vertex and indicate the direction that the parabola opens: 

7. Ans: __B___

 

A. Vertex and Opens Up. B. Vertex and Opens Up. C. Vertex and Opens Down. D. Vertex and Opens Down. 

 

8. (4 pts) Simplify: 8. Ans: __C___ 

 

A. 1 B. -1 C. D. 

 

09. (4 pts) Multiply: . 9. Ans: __A__ 

 

A. B. 7 C. D. 

 

 

10. (4 pts) Express in the standard form: 10. Ans: __B__ 

 

A. B. C. D. 

 

11. (4 pts) Find the Vertical Asymptote: 11. Ans: __B___ 

A. x=2 B. x=-2 C. x=-4 D. x=4

 

12. (4 pts) Find the Horizontal Asymptote: 12. Ans: _C____ 

A. x=2 B. x=-2 C. x=-1 (Should be y=-1) D. x=1

 

13. (4 pts) Let (x) = -2×3+4×2-x+1. Use the Intermediate Value Theorem to determine which interval must contain a zero of f(x).

13. Ans: __B___

A. Between 0 and 1 B. Between 1 and 2 C. Between 2 and 3 D. Between 3 and 4

 

14. (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._____

 

15. (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: ____

 

16. (4 pts) True or False. It is possible for a quadratic equation with real coefficients to have one real and one complex root.

16. Ans: ____

 

17. (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: _____

 

 

18. (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.

 

 

19. (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.

 

 

20. (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.

 

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