Section 2_8

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

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.

Page1 / 7

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online