Use the dynamic points to graph the polynomial p(x) = (x + 1)² (2 x – 2²). The fixed points represent points of interest: y-intercept, relative extrema, and inflection points. (3,6)

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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graph the number 3 please 

Use the dynamic points to graph the polynomial
p(x) = (x + 1)² (2 x – 2²).
The fixed points represent points of interest:
y-intercept, relative extrema, and inflection points.
(3,6)
Transcribed Image Text:Use the dynamic points to graph the polynomial p(x) = (x + 1)² (2 x – 2²). The fixed points represent points of interest: y-intercept, relative extrema, and inflection points. (3,6)
Hint
Assistance Used
Find the x-intercepts by solving the equation p(x) = 0 and the y-intercept by finding p(0).
The stationary points are found by solving the equation p'(x) = 0 and the inflection points are found by solving the equation
p° (x) = 0.
Transcribed Image Text:Hint Assistance Used Find the x-intercepts by solving the equation p(x) = 0 and the y-intercept by finding p(0). The stationary points are found by solving the equation p'(x) = 0 and the inflection points are found by solving the equation p° (x) = 0.
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