Properties of Functions

Pure Mathematics — Second Secondary

Lesson summary

Comparison aspect	Main idea	Keywords
Even function	f(−x) = f(x) with symmetry about the y-axis	symmetryaxis
Odd function	f(−x) = −f(x) with symmetry about the origin	symmetryorigin
One-to-one function	different inputs always give different outputs test it with the horizontal line test	differentinputsalwaysgive
•	A function that satisfies neither condition is neither even nor odd	functionsatisfiesneithercondition

Properties of Functions · 5 / 5