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(b) Draw the graph of a function f(x) that meets all the following criteria: i. f(x) is defined for all real numbers. ii. f(r) is continuous except at x 0. iii. f(x) is discontinuous at x= 0.

(b) Draw the graph of a function f(x) that meets all the following criteria: i. f(x) is defined for all real numbers. ii. f(r) is continuous except at x 0. iii. f(x) is discontinuous at x= 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(b) Draw the graph of a function f(x) that meets all the following criteria: i. f(x) is defined for all real numbers. ii. f(x) is continuous except at x = 0. iii. f(x) is discontinuous at x = iv. f(r) is differentiable except at r 0. v. f'(x) should have: • f'(x) = 0 for x<0. • f(x) <0 for 0<x < 1. • f'(x) > 0 for 1<x< 2. • f'(x) < 0 for 2< x< 3. 30. %3D vi. f"(1) > 0.
Transcribed Image Text:(b) Draw the graph of a function f(x) that meets all the following criteria: i. f(x) is defined for all real numbers. ii. f(x) is continuous except at x = 0. iii. f(x) is discontinuous at x = iv. f(r) is differentiable except at r 0. v. f'(x) should have: • f'(x) = 0 for x<0. • f(x) <0 for 0<x < 1. • f'(x) > 0 for 1<x< 2. • f'(x) < 0 for 2< x< 3. 30. %3D vi. f"(1) > 0.
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