Is the Given Function Injective?

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
A function is injective (or one-to-one) if different inputs give different outputs. In symbols,
is injective if whenever
, then
. To show that a function is not injective, find
such that
. Graphically, this means that a function is not injective if its graph contains two points with different
values and the same
value.
Contributed by: Izidor Hafner (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Is the Given Function Injective?"
http://demonstrations.wolfram.com/IsTheGivenFunctionInjective/
Wolfram Demonstrations Project
Published: March 7 2011