Solve the problem. 1) The price p and the quantity x sold of a certain product obey the demand equation: p = - 1 x + 300, 0 x 800.

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1 Sample Test 3 Name In the real test ou will have questions and the following rules: You have 0 minutes to complete the test below. The usage of books or notes, or communication with other students is not allowed. Ask me if ou have questions. This is a multiple choice test.you do not have to justif our answer. If, however, ou are not sure that our selection is correct, put a star (*) in front of the question number, and include our calculations on an attached sheet. I will look at an attached calculation onl if I see a star in front of the question number. -If ou mark an incorrect answer but our calculations contain onl minor mistakes, ou will get up to 7% credit for the problem. -Beware: if ou instruct me to look at a severel incorrect calculation, ou will lose at least 0% of the credit, even if b chance ou mark the correct answer. (No credit is given for an incorrect answer and totall incorrect calculations.) You get full credit if ou mark the correct answer, and mark no star, or if ou mark the correct answer, epress doubt b marking a star, but I find our calculations perfectl correct. Solve the problem. 1) The price p and the quantit sold of a certain product obe the demand equation: p = , What is the revenue to the nearest dollar when 700 units are sold? A) $148,70 B) $,000 C) $290,000 D) $271,20 2) A farmer has 1400 ards of fencing to enclose a rectangular garden. Epress the area A of the rectangle as a function of the width of the rectangle. What is the domain of A? A) A() = , 0 < < 700 B) A() = , 0 < < 1400 C) A() = , 0 < < 1400 D) A() = , 0 < < 700 Find the -intercepts and -intercepts (if the eist). 3) f() = A) -intercepts (0, -8) and (-8, 0); -intercept (0,0) B) -intercepts (0, 0) and (8, 0); -intercept (0,0) C) -intercepts (0, 0) and (-8, 0); -intercept (0,0) D) No -intercept; -intercept (0,0) Find the equation of the ais of smmetr of the parabola. 4) f() = ( + 2)2 + 8 Solve the problem. A) = -2 B) = 0 C) = -2 D) = 2 ) The owner of a video store has determined that the profits P of the store are approimatel given b P = , where is the number of videos rented dail. Find the maimum profit to the nearest dollar. A) $960 B) $1800 C) $1860 D) $900 6) The manufacturer of a CD plaer has found that the revenue R (in dollars) is R = -4p p, when the unit price is p dollars. If the manufacturer sets the price p to maimize revenue, what is the maimum revenue to the nearest whole dollar? A) $361,20 B) $180,62 C) $1,44,000 D) $722,00 MATH

2 For the polnomial, list each real zero and its multiplicit. Determine whether the graph crosses or touches the -ais at each -intercept. 7) f() = 2( - 6)( + 6)2 A) -6, multiplicit 1, touches -ais; 6, multiplicit 2, crosses -ais B) -6, multiplicit 1, crosses -ais; 6, multiplicit 2, touches -ais C) 6, multiplicit 1, touches -ais; -6, multiplicit 2, crosses -ais D) 6, multiplicit 1, crosses -ais; -6, multiplicit 2, touches -ais Graph the function. 8) f() = -2( + 1)2 A) B) C) D) MATH

3 Give the possible values for the degree of the polnomial and the sign (+ or -) of the n term. 9) A) Degree is odd (3,, etc.);... n sign is negative. B) Can't identif degree; n sign is negative. C) Degree is even (2, 4, 6 etc.);... n sign is positive. D) Degree is even (2, 4, 6, etc.);... n sign is negative. List all numbers that must be rejected as possible solutions. 12 ) = A) 0, 7, B) 7, C) 0, 7, -16 7, 12 D) 7, -16 7, -12 Give the equation of the specified asmptote(s). 11) Horizontal asmptote: h() = A) = 2 B) None C) = 9 2 D) = 0 12) Horizontal asmptote: g() = A) = -4 B) = 8 C) None D) = 9 ( - 6)( + 2) 13) Vertical asmptote(s): h() = 2-1 A) = -6, = 2 B) None C) = 1, = -1 D) = 6, = -2 MATH

4 Solve the inequalit. 14) (b + 4)(b + 2)(b - 6) < 0 A) (-«, -2) B) (-4, -2) U (6, «) C) (6, «) D) (-«, -4) U (-2, 6) Solve the inequalit. Write answer in interval notation. 3 1) 7 - < A) (4, 7) B) (-«, 4) U (7, «) C) (7, «) D) (0, 4) U (7, «) Use snthetic division. 16) ( ) d ( + 6) A) B) C) D) Use the factor theorem to decide whether or not the second polnomial is a factor of the first. 17) ; - 3 A) Yes B) No Give the maimum number of zeros the polnomial function ma have. Use Descarte's Rule of Signs to determine how man positive and how man negative zeros it ma have. 18) f() = A), 2 or 0 positive zeros, 1 or 0 negative zeros B), 3 or 1 positive zeros, 3 or 1 negative zeros C), 2 or 0 positive zeros, 2 or 0 negative zeros D), 2 or 0 positive zeros, 1 negative zero List the potential rational zeros of the polnomial function. Do not find the zeros. 19) f() = A) ± 1 6, ± 1 3, ± 1 2, ± 2 3, ± 1, ± 2, ± 3 B) ± 1 6, ± 1 3, ± 1 2, ± 1, ± 2 C) ± 1 2, ± 3 2, ± 1, ± 2, ± 3, ± 6 D) ± 1 6, ± 1 3, ± 1 2, ± 2 3, ± 1, ± 2 If the following defines a one-to-one function, find the inverse. 20) {(6, -9), (1, -8), (-1, -7), (-3, -6)} A) {(-8, -9), (-6, -1), (6, -1), (-8, -7)} B) {(-9, 6), (-8, 1), (-7, -1), (-6, -3)} C) {(-8, -9), (-9, -1), (6, 1), (-8, -7)} D) Not a one-to-one function MATH

5 Answer Ke Testname: STEST3.TST 1) A 2) D 3) C 4) C ) A 6) B 7) D 8) D 9) A ) A 11) A 12) C 13) C 14) D 1) D 16) D 17) B 18) D 19) D 20) B MATH