Video lecture of L08 Curve Sketching
L08 Curve Sketching
Video Length
65 min
Est. L.H.
6-7 hr
Language
Chinese
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Learning Objectives
- Understand and identify key features for sketching a graph: domain, intercepts, symmetry, asymptotes, and end behaviour.
- Use the first derivative to find stationary points and determine intervals where a function is increasing or decreasing.
- Use the second derivative to help determine the nature of stationary points and to understand concavity (qualitative understanding of points of inflection).
- Apply a systematic procedure to sketch graphs of various functions, including polynomials, rational functions, and those involving standard transformations.
- Interpret and sketch graphs involving common functions (linear, quadratic, cubic, reciprocal, exponential, logarithmic, trigonometric, modulus).
Lesson Practices
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