Definition of One-to-One Functions - Concept

Concept Concept (1)

After learning the definition of a function, we can extend it to define a one to one function. A one to one function has not only one output for every input, but also only one input in the domain for every output in therange. Another interesting type is an invertible function, or a function that has an inverse. The graph of a one to one or invertible function has unique and interesting characteristics.

Sample Sample Problems (3)

Need help with "Definition of One-to-One Functions" problems? Watch expert teachers solve similar problems to develop your skills.

Definition of One-to-One Functions - Problem 1

Defining functions through one-one tables.

Problem 1
How to tell if a function is one-to-one by looking at a chart.
Definition of One-to-One Functions - Problem 2

F: {(-2,1),(-1,0),(0,1),(1,2),(2,2)}

Function?
One-to-one?
Problem 2
How to tell if a function is one-to-one by looking at a set of points.
Definition of One-to-One Functions - Problem 3

Vertical Line Test

Problem 3
How to tell if a function is one-to-one by looking at a graph.