In this video I go through important guidelines that should be followed when graphing or sketching curves. These guidelines may not apply for all curves but nonetheless it is important to go through these in a step by step manner until you get the hang of sketching curves.

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Guidelines to Curve Sketching

Guideline A: Domain

Values of x where f(x) is defined.

Guideline B: Intercepts

Guideline C: Symmetry

Guideline D: Asymptotes

Guideline E: Intervals of Increase or Decrease

Guideline F: Local Maximum / Minimum

Guideline G: Concavity and Points of Inflection

Guideline H: Sketch the Curve

• Draw asymptote lines (dashed lines).
• Plot intercepts, inflections points, max, min.
• Make curve hit the above points through increasing / decreasing direction, and concaving up or down, etc.
• Plot out f'(x) at certain locations for increased accuracy.