Analyze the discontinuities of the following piecewise-defined function. Include a well-labeled graph and supporting calculus statements within a grammatically correct exposition.  f(x) = 2 − 1/4 x  if x < 2 3   if x = 2 1/x   + 1 if x > 2

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter8: Functions
Section8.1: Concept Of A Function
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Analyze the discontinuities of the following piecewise-defined function. Include a well-labeled graph and supporting calculus statements within a grammatically correct exposition. 

f(x) =

2 − 1/4 x  if x < 2

3   if x = 2

1/x   + 1 if x > 2

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