# Algebra Quiz 2

QUIZ 3 Professor: M s. Chow dhury M A TH 107 Fall 2015 N ame___________________________________ Date ________________ INSTRUCTIONS

The quiz is worth 35 points. There are 10 multiple choice (2 points) and 5 (3 points) short answer problems.

� This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.

� You must show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit at the discretion of the professor.

� Please type or hand write your answers on the table in the answer sheet, then create a separate document containing your work. Be sure to include your name in the document. Review instructions for submitting your quiz in the Unit Quizzes Module.

You must sign the honor statement in the answer sheet for your quiz to be valid.

M ULTI PLE CH OI CE. Choose the one al ternati ve that best compl etes the statement or answ ers the questi on.

D etermi ne the sl ope and the y- i ntercept of the graph of the equati on. 1) 11x – 3y – 33 = 0 1)

A) m = – 11 3

; (0, 11) B) m = 11 3

; (0, – 11)

C) m = 11; (0, 33) D) m = 3 11

; (0, 3)

Eval uate the pi ecew i se f uncti on at the gi ven val ue of the i ndependent vari abl e. 2)

f(x) = x – 3 if x > – 2

– (x – 3) if x K- 2

Determine f(- 3).

2)

A) – 3 B) – 16 C) 6 D) – 6

1

3)

g(x) = x2 – 3 x – 5

if x J 5

x + 8 if x = 5

Determine g(- 7).

3)

A) 1 B) – 7 C) – 23 6

D) 5 6

Fi nd the average rate of change of the f uncti on f rom x1 to x2. 4) f(x) = – 3×2 – x from x1 = 5 to x2 = 6 4)

A) – 34 B) – 1 6

C) – 2 D) 1 2

5) f(x) = 2x from x1 = 2 to x2 = 8 5)

A) 7 B) 1 3

C) – 3 10

D) 2

Use the gi ven condi ti ons to w ri te an equati on f or the l i ne i n poi nt-sl ope f orm.

6) Slope = 8 9

, passing through (2, 7) 6)

A) y + 7 = 8 9

(x + 2) B) y = 8 9

x + 2 C) y – 7 = 8 9

(x – 2) D) x – 7 = 8 9

(y – 2)

Use the gi ven condi ti ons to w ri te an equati on f or the l i ne i n sl ope- i ntercept f orm. 7) Passing through (6, 4) and (8, 7) 7)

A) y = mx – 5 B) y = – 3 2

x – 5 C) y = 3 2

x – 5 D) y – 4 = 3 2

(x – 6)

8) Slope = 2, passing through (5, 2) 8) A) y – 2 = 2x – 5 B) y – 2 = x – 5 C) y = 2x + 8 D) y = 2x – 8

2

Use the graph of the gi ven f uncti on to f i nd any rel ati ve maxi ma and rel ati ve mi ni ma. 9) f(x) = x3 – 3×2 + 1 9)

A) maximum: (0, 1); minimum: none B) no maximum or minimum C) maximum: none; minimum: (2, – 3) D) maximum: (0, 1); minimum: (2, – 3)

Use the graph to determi ne the f uncti on’s domai n and range. 10) 10)

A) domain: (- Q, – 2] range: (- Q, 3]

B) domain: (- Q, – 2) or (- 2, Q) range: (- Q, 3) or (3, Q)

C) domain: (- Q, Q) range: (- Q, 3]

D) domain: (- Q, Q) range: (- Q, Q)

3

SH ORT A N SWER. You must show al l your w ork to recei ve f ul l credi t.

Begi n by graphi ng the standard quadrati c f uncti on f (x) = x2 . Then use transf ormati ons of thi s graph to graph the gi ven f uncti on. D escri be the transf ormati ons i n w ords.

11) h(x) = – (x + 4)2 + 5 11)

Fi nd the sl ope then descri be w hat i t means i n terms of the rate of change of the dependent vari abl e per uni t change i n the i ndependent vari abl e.

12) The linear function f(x) = – 9.5x + 27 models the percentage of people, f(x), w ho eat at fast food restaurants each w eek x years after 1998.

12)

Graph the equati on. 13) 2x + 3y – 10 = 0 13)

4

I denti f y the i nterval s w here the f uncti on i s changi ng as requested. 14) Decreasing, increasing, and constant. 14)

Sol ve the probl em. 15) A salesperson gets a commission of \$400 for the first \$10,000 of sales, and then \$200 for

each additi onal \$10,000 or partial of sales. Let S(x) represent the commissi on on x dollars of sales. Find the value of S(85,000).

15)

5

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