One to one functions
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Intros
Lessons
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Examples
Lessons
- 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.
- 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.
- Applying the Horizontal Line Test
Determine if the following graphs are one-to-one functions using the horizontal line test.
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Topic Notes
∙ 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.
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