Let f be defined by the following. S2x-3 f(x) = 6 - x if x < 3 if x 2 3 (a) Is f continuous at x = 3? Yes No (b) Find the right-hand and the left-hand derivatives of f at x = 3. f'(3 ) = -1 f3*) = 2 %3D %3D (c) Is f differentiable at x = 3? Yes No
Let f be defined by the following. S2x-3 f(x) = 6 - x if x < 3 if x 2 3 (a) Is f continuous at x = 3? Yes No (b) Find the right-hand and the left-hand derivatives of f at x = 3. f'(3 ) = -1 f3*) = 2 %3D %3D (c) Is f differentiable at x = 3? Yes No
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Transcribed Image Text:Let f be defined by the following.
2x- 3
if x < 3
f(x) =
if x 2 3
(a) Is f continuous at x 3?
Yes
No
(b) Find the right-hand and the left-hand derivatives of f at x = 3.
f'(3 ) = -1
f'3*) = 2
%3D
%3D
(c) Is f differentiable at x = 3?
Yes
No
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