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The Language of Functions and Continuity · Weeks 1-9

Continuity and Discontinuities

Defining continuity and classifying different types of discontinuities (removable, jump, infinite).

Key Questions

  1. Analyze the conditions required for a function to be continuous at a point.
  2. Differentiate between the three main types of discontinuities and their graphical implications.
  3. Justify why a function might be discontinuous in a real-world model.

Common Core State Standards

CCSS.Math.Content.HSF.IF.B.4
Grade: 12th Grade
Subject: Mathematics
Unit: The Language of Functions and Continuity
Period: Weeks 1-9

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