MATH 30 WEEK 8 SESSION 8 QUIZ • Session 8 Quiz Question 1 Question text How many roots does the...

MATH 30 WEEK 8 SESSION 8 QUIZ • Session 8 Quiz Question 1 Question text How many roots does the function f(x) = x3 - 8x2 - x + 8 have? Select one: A. 0 B. 1 C. 3 D. 8 E. Can't be determined. Question 2 Question text Use Descartes's Rule of signs to determine the possible number of positive and negative real zeros for the function f(x) = x7 + x4 + x2 + 4. Select one: A. 0 positive zeros and 0 negative zeros B. 0 positive zeros and 3 or 1 negative zeros C. 0 positive zeros and 2 or 0 negative zeros D. 2 or 0 positive zeros and 3 or 1 negative zeros E. 0 positive zeros and 1 negative zero Question 3 Question text Find the x- and y-intercepts of the rational function: Select one: A. x-i: [0 , (1/2)] y-i: [(1/5) , 0] B. x-i: (0 , 0) y-i: (0 , 0) C. x-i: (2 , 0) y-i: (0 , 5) D. x-i: [(1/2) , 0] y-i: [0 , (1/5)] E. None of the above. Question 4 Question text Find the domain of the rational function f(x) = (x + 5)/(x - 9). Select one: A. All real numbers but -5 B. All real numbers but -5 and 9 C. All real numbers but 9 D. All real numbers but 0 and 9 E. All real numbers but -5, -3, 0, 9 Question 5 Question text Determine all the vertical asymptotes, if any, of the graph of the rational function f(x) = (x + 5)/(x - 9). Select one: A. x = 9 B. x = -5, x = 0, and x = 9 C. x = -3 and x = 3 D. x = -9 E. No vertical asymptotes Question 6 Question text Determine the horizontal asymptote, if any, of the graph of the rational function f(x) = (x + 5)/(x2 - 9x). Select one: A. y = -5 B. y = 0 (x-axis). C. y = 1/2 D. y = 5/9 E. No horizontal asymptote Question 7 Question text Determine the horizontal asymptote, if any, of the graph of f(x) = (3x + 2)/(x - 4). Select one: A. y = 3 B. y = -2 C. y = 4 D. y = 0 E. No horizontal asymptote Question 8 Question text AC(x) = gives the average per unit cost, in dollars, for manufacturing a certain model of computer printer, where x represents the number of units produced. As the number of printers produced gets very large, the average per unit cost will approach: Select one: A. $20x B. $20. C. $20,000/x D. $20/x E. Can't be determined. Question 9 Question text The time it takes to drive a certain distance is inversely proportional to the rate of travel. If it takes 4 hours at 50 miles per hour to drive the distance, how long will it take at 40 miles per hour? Select one: A. 4.5 hours B. 5 hours C. 5.5 hours D. 6 hours E. None of the above. Question 10 Question text The distance that a body falls from rest is directly proportional to the square of the time the body falls. If skydivers fall 144 feet in 3 seconds, how far do they fall in 10 seconds? Select one: A. 480 feet B. 830 feet C. 4320 feet D. 1600 feet E. None of the above.