-7 if x < 2 Let f(x) = (x – 2)? – 7 if x > 2. Sketch the graph of the function and use the limit definition of the derivative to show that f'(2) = 0.

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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{i
S -7
(x – 2)? – 7 if
if
х< 2
Let f(x) :
x > 2.
Sketch the graph of the function and use the limit definition of the
derivative to show that f'(2) = 0.
Transcribed Image Text:{i S -7 (x – 2)? – 7 if if х< 2 Let f(x) : x > 2. Sketch the graph of the function and use the limit definition of the derivative to show that f'(2) = 0.
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