I.B. Sketch the graph of a function f satisfying ALL the given conditions. • The domain of f is (-00,00) f(-5) = -2 ● ● ● x intercepts are -3,0,3,5 and 7 lim f(x) = 0 x-5 lim f(x) = +00 x-3 lim f(x) = -00 x-3+ lim f(x) = 0 X-0- lim f(x) = 3 x→0+ lim f(x) = -5 x-5 f is continuous at all except -5,-3,0 and 5 ज -6 -5 -4 -3 ~ 6 4 3 2 IN 1 -1 0 -1 -2- -3- -5- -6- -7- 2 3 4 5 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I.B. Sketch the graph of a function
f satisfying ALL the given
conditions.
The domain of f is (-00,00)
• f(-5) = -2
●
x intercepts are
-3,0,3,5 and 7
lim_ f(x) = 0
x-5
lim_f(x) = +00
x-3-
lim f(x): = -∞
x-3+
lim_ f(x) = 0
x-0-
lim f(x) = 3
x→0+
lim f(x) = -5
X-5
f is continuous at all
except -5,-3,0 and 5
-6 -5
-4
-3
-2
-1
-6-
--5-
-4-
3-
2
1
0
-1
-2-
-3-
-4
-5-
-6-
-7-7
2
3
A
4
5
6
Transcribed Image Text:I.B. Sketch the graph of a function f satisfying ALL the given conditions. The domain of f is (-00,00) • f(-5) = -2 ● x intercepts are -3,0,3,5 and 7 lim_ f(x) = 0 x-5 lim_f(x) = +00 x-3- lim f(x): = -∞ x-3+ lim_ f(x) = 0 x-0- lim f(x) = 3 x→0+ lim f(x) = -5 X-5 f is continuous at all except -5,-3,0 and 5 -6 -5 -4 -3 -2 -1 -6- --5- -4- 3- 2 1 0 -1 -2- -3- -4 -5- -6- -7-7 2 3 A 4 5 6
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