P.33 It is false that, if the function of is continuous in [a,b], differentiable in (a,b) and such that f(a). f (b) <0: then (a) there exists to € (a,b) such that the tangent line to the graph of f at (20, f(x)) is horizontal (b) the image off is a closed interval (c) there exists x E (a,b) such that f(x) = 0 (d) there exists no € (a,b) such that f'(no) (b-a) = f(b) - f(a) (e) f has absolute maximum and minimum points

P.33 It is false that, if the function of is continuous in [a,b], differentiable in (a,b) and such that f(a). f (b) <0: then (a) there exists to € (a,b) such that the tangent line to the graph of f at (20, f(x)) is horizontal (b) the image off is a closed interval (c) there exists x E (a,b) such that f(x) = 0 (d) there exists no € (a,b) such that f'(no) (b-a) = f(b) - f(a) (e) f has absolute maximum and minimum points

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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