Why is the Domain of y=2x^2+12x+12 the Set of Real Numbers?

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Homework Help Overview

The discussion revolves around the domain of the quadratic function y=2x^2+12x+12, specifically why it is defined for all real numbers.

Discussion Character

  • Conceptual clarification

Approaches and Questions Raised

  • Participants explore the definition of the function and its applicability to all real numbers. Questions about the notation used for the set of real numbers are also raised.

Discussion Status

The conversation includes attempts to clarify the meaning of the notation for real numbers and the function's domain. Some participants provide insights into the definition of the function, while others seek further clarification on terminology.

Contextual Notes

There is a mention of confusion regarding mathematical notation, specifically the symbol used to represent the set of real numbers.

Ry122
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Can someone please tell me why the domain of y=2x^2+12x+12 is x elementof IR
 
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because the function (of x) is defined for all x in R. It takes any value x in R as a valid input to the function.
 
What does IR mean exactly?
 
I don't know... you tell me? :smile: ... judging by the look of it, it looks like
[tex]\mathbb{R}[/tex]
which means the real line.
 

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