One to one functions

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Intros
Lessons
  1. 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?

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Examples
Lessons
  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.

    1. 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.

      1. Applying the Horizontal Line Test

        Determine if the following graphs are one-to-one functions using the horizontal line test.

        i. Determine if the graph is an one to one function 1.

        ii. Determine if the graph is an one to one function 2

        iii. Determine if the graph is an one to one function 3

        iv. Determine if the graph is an one to one function 4

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

        \bullet Surjective/Onto: For every yy value, there exists at least one xx value.

        \bullet Injective/Into/one-to-one: For every yy value, there exists at most one xx value.

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

        Basic Concepts
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