Find the values of constants a, b, and c so that the graph of y=ax^3+bx^2+cx has a local maximum at x=-2, a local minimum at x=-4 and inflection point at (-3,18)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Find the values of constants a, b, and c so that the graph of y=ax^3+bx^2+cx has a local maximum at x=-2, a local minimum at x=-4 and inflection point at (-3,18)
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