Question Details

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.