Consider the function f with the following properties: f is continuous everywhere except at x = 2 • f(-1) = -2, f(1) = 0, f(3) = 5 lim f(x) = -1, lim_ f(x) = +∞, lim_ f(x) = -3, _lim_ [f(x) — (x + 1)] = 0 x-2-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Fill out the last row of the table with conclusions on where f is increasing or decreasing, where its graph is concave up of concave down, and where it has relative extrema and points of inflection, if any.
Consider the function f with the following properties:
f is continuous everywhere except at x = 2
• f(-1) = -2, f(1) = 0, f(3) = 5
• lim f(x) = -1, lim_ f(x) = +∞,_lim_ f(x) = −3, _lim_ [f(x) — (x + 1)] = 0
x-2-
Transcribed Image Text:Consider the function f with the following properties: f is continuous everywhere except at x = 2 • f(-1) = -2, f(1) = 0, f(3) = 5 • lim f(x) = -1, lim_ f(x) = +∞,_lim_ f(x) = −3, _lim_ [f(x) — (x + 1)] = 0 x-2-
f'
f"
conclusions
(-∞, -1) -1 (-1,1)
+
+
+
0
+
1 (1, 2) 2
-
0
dne
1
dne
(2,3)
+
3 (3, +00)
0
+
t
+
Transcribed Image Text:f' f" conclusions (-∞, -1) -1 (-1,1) + + + 0 + 1 (1, 2) 2 - 0 dne 1 dne (2,3) + 3 (3, +00) 0 + t +
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