MATH 107 QUIZ 4

Description

MATH 107 QUIZ 4                                                        Spring 2020

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, Feb 23.
• 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 Quizzes module.
• If you have any questions, please contact me by e-mail.

 

1. (8 pts) Look at the graph of the quadratic function and state the intercept(s), vertex, and range, and indicate which of equations A, B, C, or D, represents the graph. [No explanations required.]

Graph	Fill in the blanks	Equation
	State the y-intercept(s):   ___________   State the range:   ___________   State the vertex:   ____________	The graph represents which of the following equations?   Choice:  _____     A.    y  =  x2 + 6x + 1   B.    y  =  x2 – 6x + 1   C.    y  =  –x2 + 6x + 1   D.    y  =  –x2 – 6x + 1

 

 

2. (4 pts) Solve the inequality x² ³ 7x and write the solution set in interval notation.

(no explanation required)    Answer:    __

1. [7, ¥)
2. (–¥, 0] È [7, ¥)
3. (–¥, 7] È [0, ¥)
4. [0, 7]

 

3. (4 pts) For , use the Intermediate Value Theorem to determine which interval must contain a zero of f(x).  (no explanation required)         Answer: _____
4. Between 0 and 1
5. Between 1 and 2
6. Between 3 and 4
7. Between 2 and 3

 

 

Solution:

 

 

 

 

 

 

 

 

4. (4 pts) Translate this sentence about area into a mathematical equation.

The area G of a regular pentagon is directly proportional to the square of the length S of its sides

 

Solution: 

 

5. (4 pts) Solve  and write interval notation for the solution set.

Show careful algebraic work/explanation.

Solution: