Jump Discontinuity
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.
Analogy
Think of jumping from one step to another on stairs. There is no smooth transition between steps; instead, there is an immediate change in height.
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.
"Jump Discontinuity" appears in:
Study guides (2)
Practice Questions (1)
- What is a jump discontinuity?
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