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
A jump discontinuity occurs when there is an abrupt change in the value of a function at a specific point, resulting in two separate pieces of the graph.
Related terms
Point of Discontinuity: A specific x-value where a function is not continuous.
Piecewise Function: A function defined by different rules for different intervals or regions.
Vertical Asymptote: A vertical line that represents values where the function approaches positive or negative infinity.