Suppose that the piecewise defined function f is defined by 1-4x, 1(z) - {27 +27 f(x) 2x²+2x19, Determine which of the following statements are true. Select the correct answer below: Of is neither differentiable nor continuous at a = 2. Of is continuous but not differentiable at x = 2. Of is both differentiable and continuous at a = 2. x≤2 x>2'

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 94E
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7x2−10x2+4x−3

Suppose that the piecewise defined function f is defined by
1-4x,
2x²+2x19,
f(x)
Select the correct answer below:
=
Determine which of the following statements are true.
Of is neither differentiable nor continuous at x = 2.
Of is continuous but not differentiable at x = 2.
Of is both differentiable and continuous at x = 2.
x≤2
x> 2*
Transcribed Image Text:Suppose that the piecewise defined function f is defined by 1-4x, 2x²+2x19, f(x) Select the correct answer below: = Determine which of the following statements are true. Of is neither differentiable nor continuous at x = 2. Of is continuous but not differentiable at x = 2. Of is both differentiable and continuous at x = 2. x≤2 x> 2*
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