Let f be a continuous function. The graph of its derivative f' is shown below. "There is no such place" is a possible answer for any of these. y=f'(x) A 10 a. Write all the x-values where the function fhas critical points Explain briefly how you know. b. Write all the x-values where the function fhas a local maximum. Explain briefly how you know. c. Write all the x-values where the function fhas a critical point that is neither a local maximum nor a local minimum. Explain briefly how you know. d. Write all the x-values where the function fhas an inflection point. Explain briefly how you know. e. Which is larger: f(2) or f(4)? How do you know?

Let f be a continuous function. The graph of its derivative f' is shown below. "There is no such place" is a possible answer for any of these. y=f'(x) A 10 a. Write all the x-values where the function fhas critical points Explain briefly how you know. b. Write all the x-values where the function fhas a local maximum. Explain briefly how you know. c. Write all the x-values where the function fhas a critical point that is neither a local maximum nor a local minimum. Explain briefly how you know. d. Write all the x-values where the function fhas an inflection point. Explain briefly how you know. e. Which is larger: f(2) or f(4)? How do you know?

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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