Answered: a) Find the intervals on which g is…

a) Find the intervals on which g is increasing or decreasing. b) Find the (x,y) coordinates of any local maximum / minimum. c) Find the intervals on which g is concave up or concave down.

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

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

C13: "Use derivatives to describe and analyze key features of a graph and sketch
functions."
For the function g(x) = x(x – 4)³, do each of the following:
a) Find the intervals on whichg is increasing or decreasing.
b) Find the (x,y) coordinates of any local maximum / minimum.
c) Find the intervals on which g is concave up or concave down.
d) Find the (x,y) coordinates of any inflection points.
e) Sketch the graph, including the information you found in the previous parts.

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