1. Find a function y = f(x) having at least three inflection points and sketch its graph. [Note: To find the formula of f(r) start with a suitably chosen f"(r) and integrate f" (x) twice. The second part of the question is a curve sketching problem. Give all details. ]

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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In this question number you may choose the second derivative as (x-a)(x-b)(x-c)(x-d)... By changing a,b,c, etc you may get an original function. You are of course welcome to use any other ideas.

1. Find a function y = f(x) having at least three inflection points and sketch its graph. [Note:
To find the formula of f(x) start with a suitably chosen f"(x) and integrate f" (x) twice. The
second part of the question is a curve sketching problem. Give all details. ]
Transcribed Image Text:1. Find a function y = f(x) having at least three inflection points and sketch its graph. [Note: To find the formula of f(x) start with a suitably chosen f"(x) and integrate f" (x) twice. The second part of the question is a curve sketching problem. Give all details. ]
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