13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) 2-1 for all x, what is the greatest possible value of f (0) ? (A) 3 (B) 4 (C) 5 (D) 8 (E) 11

13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) 2-1 for all x, what is the greatest possible value of f (0) ? (A) 3 (B) 4 (C) 5 (D) 8 (E) 11

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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Question

13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5
and f'(x) 2-1 for all x, what is the greatest possible value of f (0) ?
(A) 3
(B) 4
(C) 5
(D) 8
(E) 11

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