Sketch the graph of f(x) = –3r³ – 4x² + 6x – 2 by following the steps in sketching the graph of a function. Find the critical numbers of f' to obtain possible points of inflection. At each of these values of r check to see if f"(x) changes sign and if the graph has a tangent line there to determine if there actually is a point of inflection. Check for concavity of the graph. Find the values of x for which f"(x) is positive to obtain points at which the graph is concave upward; to obtain the points at which the graph of f is concave downward find the values of x at which f"(x) is negative.

Sketch the graph of f(x) = –3r³ – 4x² + 6x – 2 by following the steps in sketching the graph of a function. Find the critical numbers of f' to obtain possible points of inflection. At each of these values of r check to see if f"(x) changes sign and if the graph has a tangent line there to determine if there actually is a point of inflection. Check for concavity of the graph. Find the values of x for which f"(x) is positive to obtain points at which the graph is concave upward; to obtain the points at which the graph of f is concave downward find the values of x at which f"(x) is negative.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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