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

Definition--Functions and Relations Concepts--Increasing Function

Increasing Function

Increasing Function Image

Topic

Functions and Relations

Definition

An increasing function is a function where the value of the function increases as the input increases.

Description

Increasing functions are important in mathematics because they describe scenarios where an increase in one variable leads to an increase in another. This is mathematically represented as f(x1​) < f(x2) for any x1 < x2. Increasing functions are used in various fields such as economics to model growth and in natural sciences to describe phenomena like population growth. For example, the function f(x) = 2x + 1 is increasing because as x increases, f(x) also increases. Understanding increasing 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