10. Sketch the graph of a function which satisfies all of the following conditions: • ƒ(1) = f'(1) = 0; lim f(x) = ∞; x→2+ lim f(x) = -∞; x-2- lim f(x) = -∞; x-0 lim f(x) = x; x118 lim f(x) = 0; x48 f"(x) > 0 for x > 2; and f"(x) < 0 for x < 0 and 0 < x < 2;
10. Sketch the graph of a function which satisfies all of the following conditions: • ƒ(1) = f'(1) = 0; lim f(x) = ∞; x→2+ lim f(x) = -∞; x-2- lim f(x) = -∞; x-0 lim f(x) = x; x118 lim f(x) = 0; x48 f"(x) > 0 for x > 2; and f"(x) < 0 for x < 0 and 0 < x < 2;
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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hi please help with these question
Transcribed Image Text:10. Sketch the graph of a function which satisfies all of the following conditions:
• f(1) = f'(1) = 0;
lim_ f(x) = x;
x→2+
●
lim f(x)
x→2-
= -∞;
lim f(x) = 0;
x→0
lim_ f(x) = ∞;
∞-←x
lim f(x) = 0;
x →∞
f"(x) > 0 for x > 2; and
f"(x) < 0 for x < 0 and 0 < x < 2;
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i need the function related to this graph and i also require all the details of the graph e.g. intercepts and asymptotes
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