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Consider the function f(x) = 1 on the interval - 4, 4]. a. Is f(-4) = f(4)? %3D Yes No O O b. Is f continuous on [- 4, 4]? Yes No c. Is f differentiable on (- 4, 4)? Yes No d. What do your answers to parts a., b., and c. imply? O Rolle's Theorem can be applied O The Mean Value Theorem can be applied O Both Rolle's Theorem and the Mena Value Theorem can be applied O Neither Rolle's Theorem nor the Mean Value Theorem applies to this problem e. If you can use Rolle's Theorem or the Mean Value Theorem, find the value of c satisfying said theorem. If not, enter DNE. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation).

Consider the function f(x) = 1 on the interval - 4, 4]. a. Is f(-4) = f(4)? %3D Yes No O O b. Is f continuous on [- 4, 4]? Yes No c. Is f differentiable on (- 4, 4)? Yes No d. What do your answers to parts a., b., and c. imply? O Rolle's Theorem can be applied O The Mean Value Theorem can be applied O Both Rolle's Theorem and the Mena Value Theorem can be applied O Neither Rolle's Theorem nor the Mean Value Theorem applies to this problem e. If you can use Rolle's Theorem or the Mean Value Theorem, find the value of c satisfying said theorem. If not, enter DNE. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f(x) 1 on the interval [- 4, 4). a. Is f(-4) = f(4)? Yes No b. Is f continuous on [- 4, 4]? Yes No c. Is f differentiable on (- 4, 4)? Yes No d. What do your answers to parts a., b., and c. imply? O Rolle's Theorem can be applied The Mean Value Theorem can be applied O Both Rolle's Theorem and the Mena Value Theorem can be applied O Neither Rolle's Theorem nor the Mean Value Theorem applies to this problem e. If you can use Rolle's Theorem or the Mean Value Theorem, find the value of c satisfying said theorem. If not, enter DNE. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). c = 4. 5n 6.
Transcribed Image Text:Consider the function f(x) 1 on the interval [- 4, 4). a. Is f(-4) = f(4)? Yes No b. Is f continuous on [- 4, 4]? Yes No c. Is f differentiable on (- 4, 4)? Yes No d. What do your answers to parts a., b., and c. imply? O Rolle's Theorem can be applied The Mean Value Theorem can be applied O Both Rolle's Theorem and the Mena Value Theorem can be applied O Neither Rolle's Theorem nor the Mean Value Theorem applies to this problem e. If you can use Rolle's Theorem or the Mean Value Theorem, find the value of c satisfying said theorem. If not, enter DNE. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). c = 4. 5n 6.
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