Determine whether the following statements are true and give an explanation or counterexample. a. If the function

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Determine whether the following statements are true and give an explanation or counterexample.

a. If the function f is differentiable for all values of x, then f is continuous for all values of x.

b. The function f(x) = |x + 1| is continuous for all x, but not differentiable for all x.

c. It is possible for the domain of f to be (a, b) and the domain of f' to be [a, b].

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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