Suppose f " is continuous on (-o, ). (a) If f '(1) = 0 and f "(1) = -7, what can you say about f? O At x = 1, f has a local maximum. O At x = 1, f has a local minimum. O At x = 1, f has neither a maximum nor a minimum. O More information is needed to determine if f has a maximum or minimum at x = 1. (b) If f '(5) = 0 and f "(5) = 0, what can you say about f? O At x = 5, f has a local maximum. O At x = 5, f has a local minimum. At x = 5, f has neither a maximum nor a minimum. O More information is needed to determine if f has a maximum or minimum at x = 5.

Suppose f " is continuous on (-o, ). (a) If f '(1) = 0 and f "(1) = -7, what can you say about f? O At x = 1, f has a local maximum. O At x = 1, f has a local minimum. O At x = 1, f has neither a maximum nor a minimum. O More information is needed to determine if f has a maximum or minimum at x = 1. (b) If f '(5) = 0 and f "(5) = 0, what can you say about f? O At x = 5, f has a local maximum. O At x = 5, f has a local minimum. At x = 5, f has neither a maximum nor a minimum. O More information is needed to determine if f has a maximum or minimum at x = 5.

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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