Math1500Fall2022Exam1A

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University of Missouri, Columbia *

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1500

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Mathematics

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Jan 9, 2024

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pdf

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Name: ID #: Math 1500: Exam 1 Instructor: Dustin Belt September 21, 2022 Version A Instructions: This exam has 9 pages containing 28 problems, which are worth a total of 100 points. Please make sure that all pages are included. Fill in your name and student ID number on the provided scan tron answer sheet. Questions 1-6 are True/False Questions while Questions 7-28 are Multiple Choice Questions. Your answers to these questions must be en- tered into the provided Student Answer Sheet . You may also wish to mark your answer on your exam booklet, but only responses cor- rectly recorded on the Student Answer Sheet will be graded. Be sure to indicate your answer on the Student Answer Sheet by completely filling in the appropriate letter. Indicate the letter of your Discussion Section in the table below. Failing to do this correctly will result in all sorts of ill will wished upon you by the graders and absolves them any responsibility should your exam be lost. Have your MUID card out and visible on your desk at all times. You may use a 3” × 5” note card. No other notes, books, calculators, or other resources are allowed. Turn off and put away your cell phone. Make sure there are no loose papers or books in your general area. Read each problem carefully. You have 60 minutes to complete this exam. Good luck! Questions Points Score 1-28 100 Indicate your Discussion Section: Time Instructor Section 8:00am Noguera Rodriguez A 10:00am Gregory E 10:00am Flores F 11:00am Gregory G 11:00am Flores H 11:00am Lisk J 2:00pm Cairatti K 10:00am Moore M 2:00pm Noguera Rodriguez P 3:00pm Allbritain Q 3:00pm Katz R 1:00pm Moore S 1:00pm Cairatti V 1:00pm Katz W
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Math 1500: Fall 2022 Exam 1 Version A Page 1 of 9 TRUE/FALSE (2 points each) Determine whether each of the following statements is (A) True or (B) False. In order to qualify as true, a statement must always be true, and not simply hold in some cases. No justification is necessary. No partial credit will be given. Indicate the correct answer on the provided Student Answer Sheet. Question 1. (2 points) If f ( x ) is a function such that lim x 3 + f ( x ) exists and lim x 3 - f ( x ) exists, then lim x 3 f ( x ) also exists. A.) True B.) False Question 2. (2 points) If f ( x ) and g ( x ) both functions that are continuous for all x , then the function h ( x ) = f ( x ) + g ( x ) is also continuous for all x . A.) True B.) False Question 3. (2 points) If f ( x ) is continuous at x = 7 and g ( x ) is continuous at x = 7 , then the function h ( x ) = f ( x ) g ( x ) is also continuous at x = 7 . A.) True B.) False Question 4. (2 points) If lim x 5 f ( x ) = 36 , then lim x 5 f ( x ) = 6 . A.) True B.) False Question 5. (2 points) If f ( x ) is continuous at x = 4 , then f ( x ) is also differentiable at x = 4 . A.) True B.) False Question 6. (2 points) If y = f ( x ) has a horizontal asymptote y = 3 , then f ( x ) is never equal to 3 . A.) True B.) False
Math 1500: Fall 2022 Exam 1 Version A Page 2 of 9 MULTIPLE CHOICE (4 points each) For each of the following questions, indicate the correct answer on the provided Student Answer Sheet. No explanation is necessary. No partial credit will be given. Question 7. (4 points) In exploring the function f ( x ) , the following table of values was obtained: x f ( x ) 2 . 9 1 . 4871 2 . 95 1 . 4936 2 . 99 1 . 4972 2 . 995 1 . 4985 2 . 999 1 . 4993 x f ( x ) 3 . 1 - 1 . 4765 3 . 05 - 1 . 4874 3 . 01 - 1 . 4889 3 . 005 - 1 . 4956 3 . 001 - 1 . 4974 Based on this information, what is the best conclusion that can be made about the lim x 3 f ( x ) ? A.) lim x 3 f ( x ) is about 1 . 5 B.) lim x 3 f ( x ) probably exists, but it is impossible to tell what its value will be from this information. C.) lim x 3 f ( x ) most likely does not exist. D.) lim x 3 f ( x ) will mot likely be the same as f (3) E.) lim x 3 f ( x ) is about 3 Question 8. (4 points) Consider the graph of the function y = f ( x ) given below. What is lim x 3 f ( x ) ? A.) 0 B.) 1 C.) 2 D.) 3 E.) This limit does not exist.
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