The function defined by x2 if r <0 f(2) = {" if x > 0 is continuous at a = 0. Determine the left- and right-hand derivatives of the function. Is the given function is differentiable at x = 0? %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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The function defined by
x2 if r <0
f(2) = {"
if x > 0
is continuous at a = 0.
Determine the left- and right-hand derivatives of the function.
Is the given function is differentiable at x = 0?
%3D
Transcribed Image Text:The function defined by x2 if r <0 f(2) = {" if x > 0 is continuous at a = 0. Determine the left- and right-hand derivatives of the function. Is the given function is differentiable at x = 0? %3D
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