lutorial Exercise Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin , [0, 81] %3D 4

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
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Tutorial Exercise
Find the point of inflection and discuss the concavity of the graph of the function.
f(x) = sin , [0, 81]
Step 1
Let f be a function whose second derivative exists on a closed open interval I. If f"(x) > 0 for all x in I, then
the graph of f is concave -Select- v on I. And if f"(x) < 0 for all x in I, then the graph of f is concave
-Select---v on I. If a tangent line exists at a point where concavity changes, this point is called a point of
inflection.
Submit Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin , [0, 81] Step 1 Let f be a function whose second derivative exists on a closed open interval I. If f"(x) > 0 for all x in I, then the graph of f is concave -Select- v on I. And if f"(x) < 0 for all x in I, then the graph of f is concave -Select---v on I. If a tangent line exists at a point where concavity changes, this point is called a point of inflection. Submit Skip (you cannot come back)
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