10.
Answers
Hint:Let ,so
Analyzingthe Graphof a Function
LearningObjectives
A studentwill be able to:
- Summarizethe propertiesof functionincludingintercepts,domain,range,continuity, asymptotes,relative
extreme,concavity, pointsof inflection,limitsat infinity. - Applythe First and SecondDerivativeTests to sketchgraphs.
Introduction
In this lessonwe summarizewhat we havelearnedaboutusingderivativesto analyzethe graphsof functions.
We will demonstratehow thesevariousmethodscan be appliedto help us examinea function’s behavior
and sketchits graph.Sincewe havealreadydiscussedthe varioustechniques,this lessonwill provideex-
amplesof usingthe techniquesto analyzethe examplesof representativefunctionswe introducedin the