a) Write an equation for a polynomial function that satisfies the following properties. : x-intercepts are at: x = -4 (single root) , x = 7 (single root) , x = 4 (order is 3) End behaviour is the same as that of the function y = - x3 b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.
a) Write an equation for a polynomial function that satisfies the following properties. : x-intercepts are at: x = -4 (single root) , x = 7 (single root) , x = 4 (order is 3) End behaviour is the same as that of the function y = - x3 b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.
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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![Q6. a) Write an equation for a polynomial function that satisfies the following properties. :
x-intercepts are at: x = -4 (single root)
x = 7 (single root)
x = 4 (order is 3)
End behaviour is the same as that of the function y = - x3
b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffb0000c-50ce-4e98-b1e7-313aec6c72e7%2Faa936c75-0d33-475a-967c-f7fca62ffa94%2Fguyaq25_processed.png&w=3840&q=75)
Transcribed Image Text:Q6. a) Write an equation for a polynomial function that satisfies the following properties. :
x-intercepts are at: x = -4 (single root)
x = 7 (single root)
x = 4 (order is 3)
End behaviour is the same as that of the function y = - x3
b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.
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