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).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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