Find a polynomial of degree three (that is, a polynomial of the form p(t) = a+btct²+dt³) whose graph goes through the points (0,1), (1,0), (−1,0), and (2, -15). Sketch a graph of this cubic and label the given points

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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Find a polynomial of degree three (that is, a polynomial of the form p(t) =
a+btct²+dt³) whose graph goes through the points
(0,1), (1,0), (−1,0), and (2, -15). Sketch a graph of this cubic and label the
given points
Transcribed Image Text:Find a polynomial of degree three (that is, a polynomial of the form p(t) = a+btct²+dt³) whose graph goes through the points (0,1), (1,0), (−1,0), and (2, -15). Sketch a graph of this cubic and label the given points
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