Section 2_8 - Math 1650 Lecture Notes 2.8 Jason Snyder,...

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Unformatted text preview: Math 1650 Lecture Notes 2.8 Jason Snyder, PhD. One-to-One Functions and their Inverses Page 1 of 7 2.8: One-to-One Functions and Their Inverses One-to-One Functions Example 1 Deciding whether a Function is One-to-One Is the function ? = 3 one-to-one? Example 2 Deciding whether a Function is One-to-One Is the function ? = 2 one-to-one? Example 3 Deciding whether a Function is One-to-One Is the function ? = 2 with domain [0, ) one-to-one? ? 1 ? 2 whenever 1 _2. Definition of a One-to-One Function A function ? with domain is called a one-to-one function if no two elements of have the same image, that is, Horizontal Line Test A function is one-to-one if and only if no horizontal line intersects its graph more than once. Math 1650 Lecture Notes 2.8 Jason Snyder, PhD. One-to-One Functions and their Inverses Page 2 of 7 Example 4 Showing that a Function if One-to-One Show that the function ? = 4 + 7 is one-to-one. is one-to-one....
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This note was uploaded on 10/07/2009 for the course MATH 150 taught by Professor Unknown during the Spring '06 term at Ohio State.

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Section 2_8 - Math 1650 Lecture Notes 2.8 Jason Snyder,...

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