Sketch and label a graph of a function f that has the given characteristics. • f(-1) = f(3) = 0 f'(1) is undefined • f'(x) < 0 if x < 1 • f'(x) > 0 if x < 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch and label a graph of a function f that has the given characteristics.
• f(-1) = f(3) = 0
f'(1) is undefined
• f'(x) < 0 if x < 1
• f'(x) > 0 if x < 1
• f"(x) < 0 for all r + 1
• The graph of f has a horizontal asymptote y = 4.
Transcribed Image Text:Sketch and label a graph of a function f that has the given characteristics. • f(-1) = f(3) = 0 f'(1) is undefined • f'(x) < 0 if x < 1 • f'(x) > 0 if x < 1 • f"(x) < 0 for all r + 1 • The graph of f has a horizontal asymptote y = 4.
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