Max/Min Problems

Unit 3: Curve Sketching & Analysis

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Concepts

• Symmetry of even and odd functions
• Vertical and horizontal asymptotes
• Concavity and points of inflection

 
Analyse et Raisonnement

• Use various methods to determine the nature of a function and hence, sketch its graph

Développement et Procédures

• Determine the domain of a function
• Find intercepts
• Determine symmetry
• Find asymptotes
• Locate intervals of increase or decrease
• Determine local maximum and minimum values
• Test for concavity and points of inflection
• Sketch the curve

Vocabulary & Notation

Even and Odd 
Domain
Intercepts
Symmetry
Asymptotes 
(vertical, horizontal, oblique)
Intervals
Local Maximum
Local minimum
Concavity
Pts of Inflexion
Limit at infinity
Degree of  a function


Find
Sketch
Show 
State
Discuss

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Lessons

4-1 Symmetry in Even and Odd Functions
4-2 Vertical and Horizontal Asymptotes
4-3 Concavity and pts of inflection
4-4 Second Derivative Test
4-5 Intervals and Optimum pts
4-5 Curve Sketching
4-6 Oblique Asymptotes
4-7 Review

Assignments

Manuel : CFC pp204-206
Manuel : CFC pp207-223
Manuel : CFC pp224-230
Manuel :  CFC pp230-232
CD pp213-225
Manuel  : CFC pp232-240
Manuel :  CFC pp241-244
CFC p245

Online Tutorial: 
Curve Sketching

Nipissing University Site: Includes examples & practice problems. 

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