Find the point of inflection and discuss the concavity of the graph of the function. Fx) = sin [0, 8m]

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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identify if its upward or downward on step 1 then answer the given problem. Please give the most complete solution that you can provide


Tutorial Exercise
Find the point of inflection and discuss the concavity of the graph of the function.
F) = sin [o, 8r]
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) <o for all x in I, then the graph of fis concave
-Select-- V on I. If a tangent line exists at a point where concavity changes, this point is called a point of
inflection.
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Transcribed Image Text:Tutorial Exercise Find the point of inflection and discuss the concavity of the graph of the function. F) = sin [o, 8r] 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) <o for all x in I, then the graph of fis 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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