Section 3.4: Simple Rational Functions (Intervals of Increase/Decrease and Concavity)
Key Concepts:
Lessons for Section 3.4:
Simple Rational Functions
1. Using Limits to Describe Behaviours of Rational Functions
1. Using Limits to Describe Behaviours of Rational Functions
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2. Determining Asymptotes and Graphing Rational Functions
Note: Remember to plot the major points
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Note: An example with a hole on the graph
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Note: An example with no asymptotes
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Note: An example with slanted asymptotes
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3. Slanted or Oblique Asymptotes
4. Critical Points of a Rational Function
4. Critical Points of a Rational Function
5. Determining Relative Extrema of a Rational Function Using the First Derivative Test
6. More on Determining the Relative Extrema of a Rational Function Using the First Derivative Test
6. More on Determining the Relative Extrema of a Rational Function Using the First Derivative Test
7. Absolute Extrema of a Rational Function
8. Curve Sketching: Rational Functions (Step-by-Step examples with detailed explanation)
Assigned Practices:
- eBook: Read p. 177 to 182
- eBook: Do exercises on p. 183 #1, #2 (second column), #3 to 6
- eBook: In-Class exercises p. 183 #7 to 9