What is the Domain of Each Variable in a Rational Function?

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In summary, specifying the domain in a scientific study is important as it helps to clearly define the scope of the research and focus the efforts of the researcher. The appropriate domain is determined by the research question and objectives, and can change during the course of the study if justified. It is necessary to specify the domain in all types of scientific studies as it ensures relevance and allows for accurate comparisons. Additionally, specifying the domain adds to the credibility of the study by providing a clear framework and demonstrating the researcher's understanding of the topic.
  • #1
mathdad
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Specify the domain of each variable.

1. y - 1

Well, y can be any integer. So, the domain is R, where R = ALL REAL NUMBERS.

2. (2y)/(y - 1)

y - 1 = 0

y = 1

Let D = domain

D = {y| y CANNOT be 1}

Correct?
 
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  • #2
Correct. :D

Can you state the domains using interval notation? It's a commonly employed notation that students should be able to utilize when stating domains/ranges, etc.
 
  • #3
If memory serves me right, the interval notation is

y = (-∞,1) U (1,∞)
 

FAQ: What is the Domain of Each Variable in a Rational Function?

What is the purpose of specifying the domain in a scientific study?

Specifying the domain in a scientific study helps to clearly define the scope of the research and the specific area of study. This allows the researcher to focus their efforts and draw accurate conclusions within a specific field of study.

How do you determine the appropriate domain for a scientific study?

The appropriate domain for a scientific study is determined by the research question and objectives of the study. It should align with the specific topic or area of interest being investigated and should be well-defined and clearly delimited.

Can the domain of a scientific study change during the course of the research?

Yes, the domain of a scientific study can change during the course of the research if new information or data leads to a shift in focus or a need to expand the scope of the study. However, any changes should be clearly justified and explained in the research methodology.

Is it necessary to specify the domain in all types of scientific studies?

Yes, it is necessary to specify the domain in all types of scientific studies. This ensures that the research is focused and relevant to a specific field of study, and allows for accurate comparisons and interpretations of the results.

How does specifying the domain impact the credibility of a scientific study?

Specifying the domain in a scientific study adds to its credibility by providing a clear framework for the research and demonstrating the researcher's understanding of the topic. It also allows for easier replication of the study by other researchers in the same field.

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