Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. If yes, find f' (x1) and f4 (x1) if they exist Determine if differentiable or not

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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Math-calculus

Given the function
2x 2
if x < 2
f (x) =
V2 – x
if x 2 2
Determine if f is continuous at x1=2. If yes, find f' (x1) and ff (x1) if they exist
Determine if differentiable or not
Transcribed Image Text:Given the function 2x 2 if x < 2 f (x) = V2 – x if x 2 2 Determine if f is continuous at x1=2. If yes, find f' (x1) and ff (x1) if they exist Determine if differentiable or not
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