HW Supplement: Concavity and Inflection Points Name 1. fis continuous on all of R. f"(x)>0 for x<7, f"(x) <0 for x>7. a) Make a labeled number line for the sign of the second derivative. b) Where is fconcave up? c) Where is fconcave down? d) Is the inflection point at x = 7 a maximum or a minimum for the rate of change off? 2. The following is the labeled signed number line for f"(x). − −0+++ -4 +++0+++ 3 +++ ƒ"(x) Where does fhave an inflection point(s)? On what interval is fconcave up? wob sveno d ax? 3. Put an X at the inflection point. Does the graphed function have a maximum or a minimum for the rate of change of fat its inflection point? Explain. [0000001-NL X8-1 (over) Relative Min

HW Supplement: Concavity and Inflection Points Name 1. fis continuous on all of R. f"(x)>0 for x<7, f"(x) <0 for x>7. a) Make a labeled number line for the sign of the second derivative. b) Where is fconcave up? c) Where is fconcave down? d) Is the inflection point at x = 7 a maximum or a minimum for the rate of change off? 2. The following is the labeled signed number line for f"(x). − −0+++ -4 +++0+++ 3 +++ ƒ"(x) Where does fhave an inflection point(s)? On what interval is fconcave up? wob sveno d ax? 3. Put an X at the inflection point. Does the graphed function have a maximum or a minimum for the rate of change of fat its inflection point? Explain. [0000001-NL X8-1 (over) Relative Min

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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