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# 3.2 - Blackboard Learning System 4:42 PM Your location...

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Unformatted text preview: Blackboard Learning System 4/14/09 4:42 PM Your location: Assessments › View All Submissions › View Attempt View Attempt 1 of 5 Title: Started: Submitted: Time spent: Problem Set 3.2 February 15, 2009 4:29 PM February 15, 2009 5:00 PM 00:31:05 Total score adjusted by 0.0 Maximum possible score: 10 Total score: 8/10 = 80% Done 1. Provide an appropriate response. Determine where the function is continuous. Student Response A. (-3, 2) B. (-∞, -3) C. (-∞, -3) D. (-∞, -3) Score: 2. (-3, 2) (-3, 2) 0/1 (2, ∞) (2, ∞) Feedback The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4 ? http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 1 of 6 Blackboard Learning System 4/14/09 4:42 PM Student Response A. Yes B. No Score: 3. Provide an appropriate response. 1/1 Feedback Use a graphing utility to find the discontinuities of the given rational function. g(x) = Student Response A. 3 B. 1 C. -1 D. Continuous at all values of x Score: 4. Provide an appropriate response. 1/1 Feedback Use a sign chart to solve the inequality. Express answers in interval notation. x2 > 16 Student Response A. (-4, ∞) B. (-4, 4 ) http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Feedback Page 2 of 6 Blackboard Learning System 4/14/09 4:42 PM C. (4, ∞) D. (-∞, -4) Score: 5. Determine the continuity of the function at the given points. (4, ∞) 1/1 f(x) = at x = 1 and x = 0 Student Response A. The function f is continuous at but not at B. The function f is continuous at but not at C. The function f is continuous at neither nor D. The function f is continuous at both and Score: 6. Answer the question. Is the function given by 1/1 Feedback continuous at x = 1 ? Why or why not ? http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 3 of 6 Blackboard Learning System 4/14/09 4:42 PM Student Response A. B. Score: 7. No, Yes, f(x) does not exist f(x) = f(1) 0/1 Feedback Find the intervals on which the function is continuous. Is the function given by f(x) = continuous over the interval (-∞, 0) ? Why or why not ? Student Response A. Yes, f(x) is contiuous at each point on (-∞, 0) B. No, since f(x) is not continuous at x = -5 Score: 8. 1/1 Feedback Find the limit by using the TABLE and TRACE features of your graphing calculator. Student Response A. 12 B. C. 6 D. 0 Feedback http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 4 of 6 Blackboard Learning System 4/14/09 4:42 PM Score: 9. 1/1 Solve the problem. The graph below shows the amount of income tax that a single person must pay on his or her income when claiming the standard deduction. Identify the income levels where discontinuities occur and explain the meaning of the discontinuities. Income Tax, 1000's of dollars Income, 1000's of dollars Student Response A. Discontinuities at x = \$22,000, x = \$44,000, and x = \$60,000. Discontinuities represent boundaries between tax brackets. B. Discontinuities at x = \$44,000 and x = \$60,000. Discontinuities represent tax shelters. C. Discontinuities at x = \$44,000 and x = \$60,000. Discontinuities http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Feedback Page 5 of 6 Blackboard Learning System 4/14/09 4:42 PM represent boundaries between tax brackets. D. Discontinuities at x = \$22,000, x = \$44,000, and x = \$60,000. Discontinuities represent tax cheating on the part of high -income earners. Score: 10. Give an appropriate response. Find the limit of f(x) as x approaches 3 from the right. 1/1 f(x) = Student Response A. -2 B. 7 C. 5 D. The limit does not exist. Score: 1/1 Feedback Done http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 6 of 6 ...
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