Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by: i. The local approximation at x = 0, is given by y = -2x? ii. The local approximation at x = 3, is given by y = -(x – 3)² iii. The local approximation at x = 6, is given by y = -4x³ a) Sketch the graph of a polynomial, having the lowest degree, that displays these three constraints b) Determine the y-intercept of the polynomial function c) Is the polynomial of even degree or is of odd degree? Explain why.
Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by: i. The local approximation at x = 0, is given by y = -2x? ii. The local approximation at x = 3, is given by y = -(x – 3)² iii. The local approximation at x = 6, is given by y = -4x³ a) Sketch the graph of a polynomial, having the lowest degree, that displays these three constraints b) Determine the y-intercept of the polynomial function c) Is the polynomial of even degree or is of odd degree? Explain why.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
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