Sketch a graph of a function f, defined on (-∞, ∞), with the following properties. lim f(x) = f(-2) = −4 *+-2+ • lim f(x) = f(1) x-1 • lim f(x) = -2 8118

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch a graph of a function f, defined on (-∞, ∞0), with the
following properties.
lim f(x) = f(-2) = −4
x→-2+
• lim f(x) = f(1)
x-1
●
lim f(x) = -2
f has an absolute minimum at x = -2.
• f'(4) = 0
f"(x) <0 on (-4,-2) and (1,7)
•f"(x) > 0 on (-∞, -4) and (-2, 1)
• f'(x) > 0 on (-∞, -2), (-2, 1) and (1,4)
•[ f(x) dx < 0
-8
Transcribed Image Text:Sketch a graph of a function f, defined on (-∞, ∞0), with the following properties. lim f(x) = f(-2) = −4 x→-2+ • lim f(x) = f(1) x-1 ● lim f(x) = -2 f has an absolute minimum at x = -2. • f'(4) = 0 f"(x) <0 on (-4,-2) and (1,7) •f"(x) > 0 on (-∞, -4) and (-2, 1) • f'(x) > 0 on (-∞, -2), (-2, 1) and (1,4) •[ f(x) dx < 0 -8
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