Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
The process of modifying a function to eliminate any points where it is not continuous. This involves making adjustments or redefining the function at those points.
Related terms
Piecewise Function: A function that is defined by different formulas for different intervals. It allows us to represent different behaviors within one overall function.
Oscillating Function: A function that repeatedly changes direction between positive and negative values. It can have multiple discontinuities due to its rapid oscillations.
The value that a function approaches as the input approaches a certain point. Limits are used to analyze the behavior of functions near points of interest, including potential discontinuities.