You are given the function ?(?) = ?4 − 8?3 + 18. Determine (a) the interval where f(x) is increasing and decreasing, (b) the interval where f(x) is concave up or concave down, (c) inflection points, (d) local and absolute extreme points, if any. (e) Use the graphing utility to graph f

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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You are given the function ?(?) = ?4 − 8?3 + 18. Determine (a) the interval where f(x) is increasing and decreasing, (b) the interval where f(x) is concave up or concave down, (c) inflection points, (d) local and absolute extreme points, if any. (e) Use the graphing utility to graph f(x).

You are given the function f(x) = x² − 8x³ + 18. Determine (a) the interval where f(x) is increasing
and decreasing, (b) the interval where f(x) is concave up or concave down, (c) inflection points, (d) local and
absolute extreme points, if any. (e) Use the graphing utility to graph f(x).
Transcribed Image Text:You are given the function f(x) = x² − 8x³ + 18. Determine (a) the interval where f(x) is increasing and decreasing, (b) the interval where f(x) is concave up or concave down, (c) inflection points, (d) local and absolute extreme points, if any. (e) Use the graphing utility to graph f(x).
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