Give the equations of all the asymptotes of the graph of f.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(1a) Give the equations of all the asymptotes of the graph of f.

Consider the function f with the following properties:
•f is continuous everywhere except at x = -1
f(-3) = 1, f(-2) = 0, ƒ(0) = -2
lim f(x) = +∞, lim f(x) = -0∞, lim f(r) = 2, lim [f(x) – (-x – 1)] = 0
r→-1-
x→-1+
x→-∞
X→+∞
Intervals
Conclusions
(-00, –3)
-3
(-3, –2)
-2
(-2, –1)
-1
DNE DNE
(-1,0)
(0, +0)
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Transcribed Image Text:Consider the function f with the following properties: •f is continuous everywhere except at x = -1 f(-3) = 1, f(-2) = 0, ƒ(0) = -2 lim f(x) = +∞, lim f(x) = -0∞, lim f(r) = 2, lim [f(x) – (-x – 1)] = 0 r→-1- x→-1+ x→-∞ X→+∞ Intervals Conclusions (-00, –3) -3 (-3, –2) -2 (-2, –1) -1 DNE DNE (-1,0) (0, +0) | ||||
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