Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.7

Determine numerically, algebraically, and graphically the limits of functions at specific values and at infinity.

Unpacked Content

Knowledge

Students know:
  • How to graph the families of functions.
  • How to factor, simplify, and rationalize functions.
  • How to evaluate functions at a given input value.

Skills

Students are able to:
  • Identify continuity and discontinuity (if discontinuous, identify the type).
  • Calculate limits.

Understanding

Students understand that:
  • Functions have various types of continuity and discontinuity.
  • That limits can be determined numerically, graphically, and algebraically.
  • converging means that a limit exists, while diverging means that a limit does not exist.

Vocabulary

  • Limit
  • Convergent
  • Divergent
  • Continuous function
  • Discontinuous function
  • Discontinuity (infinite, jump, removable)
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