True or False, and give a short reason: (a) If a function is differentiable, then it is continuous. (b) If a function is continuous, then it is differentiable. (c) If f is continuous on -1, 1] and f(-1) 4 and f(1) = 3, then there is an r=r so that f(r) = . (d) If f is continuous at 5, and f(5) = 2, then the limit as r 2 of f(4r - 11) must be 2. %3D Al1

True or False, and give a short reason: (a) If a function is differentiable, then it is continuous. (b) If a function is continuous, then it is differentiable. (c) If f is continuous on -1, 1] and f(-1) 4 and f(1) = 3, then there is an r=r so that f(r) = . (d) If f is continuous at 5, and f(5) = 2, then the limit as r 2 of f(4r - 11) must be 2. %3D Al1

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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