Sketch a possible function that satisfies the following conditoons:a) Quartic, as x goes to infinity, y goes to infinity, three turning points and one root.b) Degree 5 polynomial, positive leading coefficient, 4 turning points and 3 zeros. 6. Sketch a possible function that satisfies the following conditions:a) Quartic, as x-, y- sthree turning points and one root.b) Degree 5 polynomial, positive leading coefficient, 4 turning points. 3 zeros.

It is known that a polynomial function with n degrees has at most n zeros and n-1 turning points.…

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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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Sketch a possible function that satisfies the following conditoons: a) Quartic, as x goes to infinity, y goes to infinity, three turning points and one root. b) Degree 5 polynomial, positive leading coefficient, 4 turning points and 3 zeros.

6. Sketch a possible function that satisfies the following conditions:
a) Quartic, as x-, y- sthree turning points and one root.
b) Degree 5 polynomial, positive leading coefficient, 4 turning points. 3 zeros.

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