Sketch the polynomial. Include end behavior, turning points, multiplicity table, and grap 20. f(x) = -x³ + 3x² + 4x 21. f(x) = -5x4 - 10x³ + 75x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Sketch the polynomial. Include end behavior, turning points, multiplicity table, and graph.
20. f(x) = x³ + 3x² + 4x
21. f(x) = -5x4 - 10x³ + 75x²
Transcribed Image Text:Sketch the polynomial. Include end behavior, turning points, multiplicity table, and graph. 20. f(x) = x³ + 3x² + 4x 21. f(x) = -5x4 - 10x³ + 75x²
Expert Solution
Step 1

Introduction:

The functions turning points are the critical points of the function which are obtained by solving the equation f'x = 0.

Given: Polynomial functions.

To find: End behavior , turning points , multiplicity and graph

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