Is f(x) = 2x Onto, One-to-One, or a Bijection for Different Domains?

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Homework Help Overview

The discussion revolves around the function f(x) = 2x and its properties of being onto, one-to-one, or a bijection when considering different domains: integers, naturals, and reals. The original poster seeks to understand these concepts in the context of the given function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to analyze the function f(x) = 2x across various domains to determine its properties. Some participants question the understanding of one-to-one and onto functions, while others suggest revisiting the definitions to clarify the concepts.

Discussion Status

The discussion is in an exploratory phase, with participants seeking to clarify definitions and concepts related to the function's properties. There is no explicit consensus yet, as the original poster is still grappling with the foundational ideas.

Contextual Notes

Participants are encouraged to define key terms and reflect on their meanings, indicating a focus on understanding rather than solving the problem directly.

raross
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Hey if anyone could help me with this I would be sooo grateful. I am trying to grasp the idea of onto, one-to-one and bijection(both) functions.

A sample problem is: If f(x) = 2x . What is f(Z), all integers. What is f(N), all naturals. What is f(R), all real. These are 3 different problems, and I am trying to figure out if they are onto, and/or one-to-one or bijection(which means both).

Any help would be a BIG HELP! Thanks!
 
Physics news on Phys.org
anyone?

anyone? Thanks
 
... =/
 
What is it you don't understand about one-to-one and onto functions?
 
Yeah, definitions are always the most important thing here. Type them up here and think about them for a bit and then we'll see what you're having trouble with.
 

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