1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3) = 7 • lim f(r) = +∞ lim [f(x) – (x + 2)] = 0 lim [f(x) – (x + 2)] = 0 -00 Moreover, the table of signs for f' and f" is given below. (-∞0, 0) | 0 | (0, 1) f'(x) | f"(x)| (1,3) | 3 | (3, +∞) + + und. + und. + 1. Give equations of the two linear 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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1. Let f be a function satisfying the following properties:
continuous on R\{1}
• f(0) = 0 and f(3) = 7
lim f(x) = +
lim [f(x) – (x + 2)] = 0
lim [f(x) – (x + 2)] = 0
Moreover, the table of signs for f' and f" is given below.
(-00, 0) | 0 | (0,1)
und.
(1,3) | 3 | (3, +o∞
1
f'(x)
f"(x)
+
+
+
und.
+
1. Give equations of the two linear asymptotes of the graph of f.
Transcribed Image Text:1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3) = 7 lim f(x) = + lim [f(x) – (x + 2)] = 0 lim [f(x) – (x + 2)] = 0 Moreover, the table of signs for f' and f" is given below. (-00, 0) | 0 | (0,1) und. (1,3) | 3 | (3, +o∞ 1 f'(x) f"(x) + + + und. + 1. Give equations of the two linear asymptotes of the graph of f.
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