One to one functions

Intro Lesson
14:50
Lesson: 1
3:20
Lesson: 2
2:56
Lesson: 3
2:37

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One to one functions

Basic concepts: Inverse functions,

Lessons

$\bullet$ To determine if an expression is a function, we perform the vertical line test.

$\bullet$ Surjective/Onto: For every $y$ value, there exists at least one $x$ value.

$\bullet$ Injective/Into/one-to-one: For every $y$ value, there exists at most one $x$ value.

$\bullet$ To determine if a function is one-to-one, we perform the horizontal line test.

Introduction
Introduction to one to one functions
i. Review: How are functions, Surjective functions and Injective functions related?

ii. How to determine if an expression is a function?

iii. What are Surjective functions?

iv. What are one to one functions?

1.
Discussing the Differences Between Surjective and Injective Functions
Identify the differences between Surjective and Injective functions and give an example for each of the functions.

2.
Identifying One-to-One Functions On a Graph
Learning the Horizontal Line Test and understanding how it can be implemented to identify one-to-one functions on a graph.

3.
Applying the Horizontal Line Test
Determine if the following graphs are one-to-one functions using the horizontal line test.

i.

ii.

iii.

iv.

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