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One to one functions
- Intro Lesson14:50
- Lesson: 13:20
- Lesson: 22:56
- Lesson: 32:37
One to one functions
Lessons
∙ To determine if an expression is a function, we perform the vertical line test.
∙ Surjective/Onto: For every y value, there exists at least one x value.
∙ Injective/Into/one-to-one: For every y value, there exists at most one x value.
∙ To determine if a function is one-to-one, we perform the horizontal line test.
- IntroductionIntroduction 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.
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iv.