1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x, complete the table below. Differentiable Continuous f(x) Derivative (Vor x) (Vor x) y l f '(-2) yax f'(-1) f '(0) Using the right side of the function with the equation y = x, complete the table below. -3 -2 -1 -1 Differentiable Continuous -4 f(x) Derivative (Vor x) (Vor x) -2 f '(2) f '(1) f '(0) -3 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer the following:

1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x,
complete the table below.
Differentiable
Continuous
f'(x)
Derivative
(Vor x)
(Vor x)
f (-2)
4
f'(-1)
y=x
yáx
f '(0)
2
Using the right side of the function with the equation y = x,
complete the table below.
f(x) Derivative
Differentiable
Continuous
-2
-1
2 3
(Vor x)
(Vor x)
-1
f (2)
-2
f '(1)
-3
f '(0)
4.
3.
Transcribed Image Text:1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x, complete the table below. Differentiable Continuous f'(x) Derivative (Vor x) (Vor x) f (-2) 4 f'(-1) y=x yáx f '(0) 2 Using the right side of the function with the equation y = x, complete the table below. f(x) Derivative Differentiable Continuous -2 -1 2 3 (Vor x) (Vor x) -1 f (2) -2 f '(1) -3 f '(0) 4. 3.
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