- #1
Ry122
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Can someone please tell me why the domain of y=2x^2+12x+12 is x elementof IR
Why is the Domain of y=2x^2+12x+12 the Set of Real Numbers?
- Thread starter Ry122
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- Domain Numbers Real numbers Set
In summary, the domain of a function is the set of all possible input values that the function can accept. For the function y=2x^2+12x+12, the domain is the set of all real numbers since there are no restrictions on the values of x that can be plugged in. The reason for this is that the function is a polynomial function with no limitations. Therefore, all real numbers, including positive and negative numbers, fractions, and irrational numbers, are included in the domain. The domain of a function can be determined by looking for any restrictions or limitations on the values of x that can be plugged in. While the domain can vary depending on the function and any restrictions, for y=2x^2+
- #2
mjsd
Homework Helper
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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.
- #3
Ry122
- 565
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What does IR mean exactly?
- #4
mjsd
Homework Helper
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I don't know... you tell me? 
... judging by the look of it, it looks like
[tex]\mathbb{R}[/tex]
which means the real line.
... judging by the look of it, it looks like[tex]\mathbb{R}[/tex]
which means the real line.
FAQ: Why is the Domain of y=2x^2+12x+12 the Set of Real Numbers?
1. What is the domain of the function y=2x^2+12x+12?
The domain of a function represents all the possible input values that the function can accept. In the case of y=2x^2+12x+12, the domain is the set of all real numbers because there are no restrictions on the values of x that can be plugged into the function.
2. Why is the domain of y=2x^2+12x+12 the set of real numbers?
The domain of y=2x^2+12x+12 is the set of real numbers because the function is a polynomial function with no restrictions or limitations on the values of x. This means that any real number can be plugged into the function and will produce a real number as the output.
3. Are there any values of x that are not in the domain of y=2x^2+12x+12?
No, there are no values of x that are not in the domain of y=2x^2+12x+12. As mentioned earlier, the domain is the set of all real numbers, which includes both positive and negative numbers, fractions, and irrational numbers.
4. How can you determine the domain of a function?
In general, the domain of a function can be determined by looking for any restrictions or limitations on the values of x that can be plugged into the function. In the case of y=2x^2+12x+12, there are no such restrictions, so the domain is the set of all real numbers.
5. Is the domain of a function always the set of real numbers?
No, the domain of a function can vary depending on the type of function and any restrictions or limitations that are imposed. For example, if the function contains a square root, the domain may be limited to only positive numbers. However, in the case of y=2x^2+12x+12, the domain is indeed the set of all real numbers.