Characteristics of Functions

Virginia SOL MA.CF.3

Analyze and describe the continuity of functions using graphical and algebraic methods.

What students need to be able to do

  • Describe continuity of a function.
  • Use mathematical notation to communicate and describe the continuity of functions including polynomial, rational, piecewise, absolute value, radical, and step functions.
  • Prove continuity at a point using the definition.
  • Classify types of discontinuity based on which condition of continuity is violated.