Definition--Functions and Relations Concepts--Discontinuous Function
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Algebra >> Functions and Relations >> Relations and Functions

Definition--Functions and Relations Concepts--Discontinuous Function

Discontinuous Function

Discontinuous Function Image

Topic

Functions and Relations

Definition

A discontinuous function is a function that has one or more points where it is not continuous.

Description

Discontinuous functions are significant in mathematics because they represent functions that have breaks, holes, or jumps in their graphs. These functions are crucial for understanding complex behaviors in real-world phenomena. For example, a piecewise function that models a sudden change in speed or a step function that represents digital signals are discontinuous. Mathematically, a function f(x) is discontinuous at a point c if lim x→c ​ f(x) ≠ f(c). Understanding discontinuous functions is essential for studying advanced mathematical concepts and for applying mathematical models to scenarios where abrupt changes occur.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4
Grade Range 6 - 9
Curriculum Nodes Algebra
    • Functions and Relations
        • Relations and Functions
Copyright Year 2021
Keywords definition, function, relations, glossary terms