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a) Sketch a possible graph of a polynomial function that meets all of the following criteria: [4C] i. x → ∞o, y →→ 00 ii. Only has zeros at x =- 4(order 1), 1(order 3), 3(order 2) iii. Has y-intercept at y = 4 b) Determine the equation of this polynomial function. -5 5 0 --5 10 5

a) Sketch a possible graph of a polynomial function that meets all of the following criteria: [4C] i. x → ∞o, y →→ 00 ii. Only has zeros at x =- 4(order 1), 1(order 3), 3(order 2) iii. Has y-intercept at y = 4 b) Determine the equation of this polynomial function. -5 5 0 --5 10 5

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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a) Sketch a possible graph of a polynomial function that meets all of the following criteria: [4C] i. x → ∞o, y → - 00 ii. Only has zeros at x =- 4(order 1), iii. Has y-intercept at y = 4 1(order 3), 3(order 2) b) Determine the equation of this polynomial function. -5 -5- O -5 5
Transcribed Image Text:a) Sketch a possible graph of a polynomial function that meets all of the following criteria: [4C] i. x → ∞o, y → - 00 ii. Only has zeros at x =- 4(order 1), iii. Has y-intercept at y = 4 1(order 3), 3(order 2) b) Determine the equation of this polynomial function. -5 -5- O -5 5
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