Infinite discontinuity occurs at a point on a graph where a function approaches infinity, creating a vertical asymptote. This type of discontinuity is characterized by the function values increasing or decreasing without bound as they approach the point from either side.

Infinite Discontinuity

Infinite discontinuity

A graph is a mathematical structure used to model pairwise relations between objects, consisting of vertices (or nodes) connected by edges. Graphs are foundational in computer science for representing networks, optimizing routes, and solving complex problems through algorithms.

graph

A function is a fundamental concept in mathematics and computer science that describes a relationship or mapping between a set of inputs and a set of possible outputs, where each input is related to exactly one output. Functions are used to model real-world phenomena, perform calculations, and define operations in programming languages, making them an essential tool for problem-solving and analysis.

function

A vertical asymptote is a line where a function's value approaches infinity as the input approaches a specific value, indicating that the function is undefined at that point. It typically occurs in rational functions where the denominator equals zero, and the numerator does not, signifying a division by zero scenario.

CUSTOMIZE YOUR LEARNING

CUSTOMIZE YOUR LEARNING

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