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-. Sketch a possible function with the given features: i. Vertical asymptotes at x = -1 and x = 3 x-intercepts at x = -2 and x = 4 ii. iii. the function is not defined at x = 1 iv. V. vi. As x→3,f(x) → +00 As x→-00, f(x)→-2 from above As x→ +∞, f(x)→→2 from above 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4- -6 2 4 6 8

-. Sketch a possible function with the given features: i. Vertical asymptotes at x = -1 and x = 3 x-intercepts at x = -2 and x = 4 ii. iii. the function is not defined at x = 1 iv. V. vi. As x→3,f(x) → +00 As x→-00, f(x)→-2 from above As x→ +∞, f(x)→→2 from above 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4- -6 2 4 6 8

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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4. Sketch a possible function with the given features: i. Vertical asymptotes at x = -1 and x = 3 x-intercepts at x = -2 and x = 4 the function is not defined at x = 1 ii. iii. iv. V. vi. As x→3,f(x) → +∞ As x→-00, f(x)→-2 from above As x→ +∞o, f(x)→-2 from above 10 -10 -8 -6 -4 -4 -2 0:0 8 6 4 2 N च 00 00 9 -2 -6 -10 2 4 6 8 10
Transcribed Image Text:4. Sketch a possible function with the given features: i. Vertical asymptotes at x = -1 and x = 3 x-intercepts at x = -2 and x = 4 the function is not defined at x = 1 ii. iii. iv. V. vi. As x→3,f(x) → +∞ As x→-00, f(x)→-2 from above As x→ +∞o, f(x)→-2 from above 10 -10 -8 -6 -4 -4 -2 0:0 8 6 4 2 N च 00 00 9 -2 -6 -10 2 4 6 8 10
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