2) Is the piecewise function CONTINUOUS? Is the function DIFFERENTIABLE everywhere over its domain? Why or why not? Explain in words and include algebraic justification. (Hint: Consider all areas in domain of interesting behaviour of your piecewise function). f(x)= Function 1 (3r³+2x²+1)(3+3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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2) Is the piecewise function CONTINUOUS? Is the function DIFFERENTIABLE everywhere over its domain? Why or why
not? Explain in words and include algebraic justification. (Hint: Consider all areas in domain of interesting behaviour of
your piecewise function).
f(x)=
Function 1
(3r³+2x²+1)(3+3)
Transcribed Image Text:2) Is the piecewise function CONTINUOUS? Is the function DIFFERENTIABLE everywhere over its domain? Why or why not? Explain in words and include algebraic justification. (Hint: Consider all areas in domain of interesting behaviour of your piecewise function). f(x)= Function 1 (3r³+2x²+1)(3+3)
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