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I.B. Sketch the graph of a function f satisfying ALL the given conditions. • The domain off is (-∞0,00) • f(-4)= -2 ● x intercepts are -2,0,2,4 and 6 lim f(x) = 0 x-4 lim_f(x) = +00 x-2- lim f(x) = - X→-2+ lim f(x) = 0 X-0- lim f(x) = 3 x→0+ lim f(x) = -5 X→4 f is continuous at all except -4,-2,0 and 4 -6 -5 w -2 10 6 -5- 4 3- 2 1 -10 1 -2 -3- -4 -5- -6 -7-1 2 3 4 5 6

I.B. Sketch the graph of a function f satisfying ALL the given conditions. • The domain off is (-∞0,00) • f(-4)= -2 ● x intercepts are -2,0,2,4 and 6 lim f(x) = 0 x-4 lim_f(x) = +00 x-2- lim f(x) = - X→-2+ lim f(x) = 0 X-0- lim f(x) = 3 x→0+ lim f(x) = -5 X→4 f is continuous at all except -4,-2,0 and 4 -6 -5 w -2 10 6 -5- 4 3- 2 1 -10 1 -2 -3- -4 -5- -6 -7-1 2 3 4 5 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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B. Sketch the graph of a function ? satisfying ALL the given conditions.
• The domain of ? is (−∞, ∞)
• ?(−4) = −2
• ? intercepts are −2 , 0 , 2 , 4 and 6
• lim?→−4
?(?) = 0
• lim ?→−2
−
?(?) = +∞
• lim
?→−2
+
?(?) = −∞
• lim?→0
−
?(?) = 0
• lim?→0+?(?) = 3
• lim?→4?(?) = −5
• ? is continuous at allexcept −4 , −2 , 0 and 4


I.B. Sketch the graph of a function f satisfying ALL the given conditions. • The domain off is (-∞0,00) • f(-4)= -2 ● x intercepts are -2,0,2,4 and 6 lim f(x) = 0 x-4 lim_f(x) = +00 x-2- lim f(x) = - X→-2+ lim f(x) = 0 X-0- lim f(x) = 3 x→0+ lim f(x) = -5 X→4 f is continuous at all except -4,-2,0 and 4 -6 -5 w -2 10 6 -5- 4 3- 2 1 -10 1 -2 -3- -4 -5- -6 -7-1 2 3 4 5 6
Transcribed Image Text:I.B. Sketch the graph of a function f satisfying ALL the given conditions. • The domain off is (-∞0,00) • f(-4)= -2 ● x intercepts are -2,0,2,4 and 6 lim f(x) = 0 x-4 lim_f(x) = +00 x-2- lim f(x) = - X→-2+ lim f(x) = 0 X-0- lim f(x) = 3 x→0+ lim f(x) = -5 X→4 f is continuous at all except -4,-2,0 and 4 -6 -5 w -2 10 6 -5- 4 3- 2 1 -10 1 -2 -3- -4 -5- -6 -7-1 2 3 4 5 6
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