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On the grid below, or on your own similar grid, sketch the graph of a differentiable function f (x) which satisfies the following conditions: • f has a global maximum on (-4, 4) • f has no global minimum on (-4, 4) • f has at least one local minimum • f has at least one local maximum • f has an inflection point at x = -2 • f has a critical point at a = 3 which is not a local maximum or a local minimum

On the grid below, or on your own similar grid, sketch the graph of a differentiable function f (x) which satisfies the following conditions: • f has a global maximum on (-4, 4) • f has no global minimum on (-4, 4) • f has at least one local minimum • f has at least one local maximum • f has an inflection point at x = -2 • f has a critical point at a = 3 which is not a local maximum or a local minimum

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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On the grid below, or on your own similar grid, sketch the graph of a differentiable function f (x) which satisfies the following conditions: • f has a global maximum on (-4, 4) • f has no global minimum on (-4, 4) • f has at least one local minimum • f has at least one local maximum • f has an inflection point at x = -2 • f has a critical point at x = 3 which is not a local maximum or a local minimum
Transcribed Image Text:On the grid below, or on your own similar grid, sketch the graph of a differentiable function f (x) which satisfies the following conditions: • f has a global maximum on (-4, 4) • f has no global minimum on (-4, 4) • f has at least one local minimum • f has at least one local maximum • f has an inflection point at x = -2 • f has a critical point at x = 3 which is not a local maximum or a local minimum
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