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

Definition--Functions and Relations Concepts--Decreasing Function

Decreasing Function

Decreasing Function Image

Topic

Functions and Relations

Definition

A decreasing function is a function where the value of the function decreases as the input increases.

Description

Decreasing functions are important in mathematics because they describe scenarios where an increase in one variable leads to a decrease in another. This is mathematically represented as 

f(x1) > f(x2) for any 𝑥1 < 𝑥2 ​

Decreasing functions are used in various fields such as economics to model diminishing returns and in natural sciences to describe phenomena like cooling rates. For example, the function f(x) = −2x + 3 is decreasing because as x increases, f(x) decreases. Understanding decreasing functions is essential for analyzing trends and making predictions in real-world situations.

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