Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the function. Construct a Sign Chart below the Cartesian Plane, confirming where the function is above or below the x-axis. g) Find the leading term of this polynomial function and apply the Leading Coefficient Test to confirm the end-behaviour of this function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following higher degree polynomial function
f(x) = -2x2 (5-2x) (x² + 1).
f) Sketch the function. Construct a Sign Chart below the Cartesian
Plane, confirming where the function is above or below the x-axis.
g) Find the leading term of this polynomial function and apply the Leading
Coefficient Test to confirm the end-behaviour of this function.
Transcribed Image Text:Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the function. Construct a Sign Chart below the Cartesian Plane, confirming where the function is above or below the x-axis. g) Find the leading term of this polynomial function and apply the Leading Coefficient Test to confirm the end-behaviour of this function.
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