inequality

NAME: _______________________________
I have completed this assignment myself, working independently and not consulting anyone except the instructor.

INSTRUCTIONS
The quiz is worth 100 points. There are 13 problems. This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone(and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than Sunday, November 1.
Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work.
General quiz tips and instructions for submitting work are posted in the Unit Quizzes module.
If you have any questions, please contact me by e-mail.

Solve the inequality.Write your answer using interval notation. (8pts)
1. x^2+3x-5≤x+3
2. x^3-x>0
Solve the inequality. Write your answer using interval notation. (8pts)
3.
4. |5-2x|≥1
Find the coordinates of the vertex for the parabola defined by the given quadratic function.(8pts)
5.
Find the vertex. Determine maximum or minimum and its value. Find the range. Is the function increasing or decreasing. (12pts)
6. f(x)=-x^2+14x-47

Solve quadratic equation by completing the square.(8pts)
7. 2x^2-1=3x

Solve quadratic equation by using the quadratic formula.(8pts)
8. 3x^2+2x=7
Simplify each complex number. (5pts)
9. i^75

10. i^58

Perform indicated operation.(8pts)
11. (2-5i)/(1-6i)

12. (8-3i)(-2-5i)
Find a polynomial function with real coefficients that has the given zeros.(6pts)
13. 3,4i,-4i

Bonus: How many zeros does this function have and what are they? (10 Pts)

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