AP Calculus Quiz-AB-Limits PDF

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Summary

This AP Calculus quiz focuses on limits, including multiple-choice and free-response questions. Students must demonstrate their understanding of limit concepts applicable in calculus. The questions require problem-solving skills and familiarity with the relevant theoretical concepts.

Full Transcript

AP CALCULUS – QUIZ-AB-LIMITS 1.01-1.16 REMEDIATION QUESTION 1 of the QUIZ (MC): Let f be the function defined below, where k is a positive constant. For what value of k, if any, is f continuous? Options: A....

AP CALCULUS – QUIZ-AB-LIMITS 1.01-1.16 REMEDIATION QUESTION 1 of the QUIZ (MC): Let f be the function defined below, where k is a positive constant. For what value of k, if any, is f continuous? Options: A. 2.081 B. 2.646 C. 8.550 D. There is no such value of k Option I chose: A QUESTION 2 of the QUIZ (MC): Options: A. 7.344 B. 7.377 C. 7.384 D. The limit does not exist Option I chose: C QUESTION 3 of the QUIZ (MC): Options: A. (1)/(a^2) B. (1)/(2a^2) C. (1)/(4a^2) D. The limit does not exist Option I chose: D QUESTION 4 of the QUIZ (MC): Options: A. -1 B. Negative Infinity C. Infinity D. The limit does not exist Option I chose: A QUESTION 5 of the QUIZ (FRQ): This question has 5 parts to it: Part A, Part B, Part C, Part D, and Part E; which all count as questions. You must use the image above to answer those 5 parts. QUESTION PART A of the QUIZ (FRQ): Show a = 6 for h(x), must use given somehow. Answer I put: I didn't answer it because I didn't know QUESTION PART B of the QUIZ (FRQ): Show b = -13 for h(x), must use given somehow. Answer I put: I didn't answer it because I didn't know QUESTION PART C of the QUIZ (FRQ): To make h continuous at x = 2, h(2) should be defined as what value? Answer I put: I didn't answer it because I didn't know QUESTION PART D of the QUIZ (FRQ): At what value of x, if any, does h have a vertical asymptote? Give a reason for your answer. Answer I put: The vertical asymptote is at x = -2 and x = 2. QUESTION PART E of the QUIZ (FRQ): Given that x = c, does h(c) = 1 on the interval [-1,6]? If so, find the value of c and justify. If not, state why not. Answer I put: I didn't answer it because I didn't know REMEDIATION SHEET MC FRONT PAGE: REMEDIATION SHEET MC BACK PAGE: REMEDIATION SHEET FRQ FRONT PAGE: REMEDIATION SHEET FRQ BACK PAGE:

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