# 3.2: One-to-One Functions and Their Inverses

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**Practice**One-to-One Functions and Their Inverses

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1-1 function

A function is 1-1 if its inverse is also a function.Horizontal Line Test

The horizontal line test says that if a horizontal line drawn anywhere through the graph of a function intersects the function in more than one location, then the function is not one-to-one and not invertible.inverse

Inverse functions are functions that 'undo' each other. Formally: and are inverse functions if .inverse function

Inverse functions are functions that 'undo' each other. Formally and are inverse functions if .invertible

A function is invertible if it has an inverse.One-to-one

A function is one-to-one if its inverse is also a function.Vertical Line Test

The vertical line test says that if a vertical line drawn anywhere through the graph of a relation intersects the relation in more than one location, then the relation is*not*a function.

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Definition and exploration of 1 to 1 functions and their inverses.

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Difficulty Level:

At Grade
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Date Created:

Nov 01, 2012
Last Modified:

Jul 22, 2016
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