Display Title
Definition--Functions and Relations Concepts--Even Function
Display Title
Even Function
Topic
Functions and Relations
Definition
An even function is a function that satisfies the condition f(x) = f(−x) for all x in its domain.
Description
Even functions are important in mathematics because they exhibit symmetry about the y-axis. This property is useful in various fields, including physics and engineering, where symmetry simplifies analysis and problem-solving. For example, the function
f(x)=x2
is even because f(x) = f(−x). Even functions are used to model phenomena that are symmetric, such as the distribution of forces in a balanced system. Understanding even functions helps in recognizing patterns and simplifying calculations in mathematical and real-world contexts.
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 |
