What is the range of the given function with a specified domain?

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SUMMARY

The discussion centers on determining the domain and range of a given mathematical function. A participant seeks clarification on the notation used for the independent variable and the correctness of their answer. The consensus is that while the domain is correctly identified, the range is inaccurately represented as it merely restates the function's equation. Participants suggest checking specific pairs of numbers to accurately define the range based on the provided domain of integers.

PREREQUISITES
  • Understanding of mathematical functions and their notation
  • Knowledge of domain and range concepts in mathematics
  • Ability to analyze function behavior through specific numerical examples
  • Familiarity with basic graphing techniques for visual representation
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  • Research how to accurately determine the range of a function given its domain
  • Learn about the implications of different types of domains on function ranges
  • Explore examples of functions with integer domains and their corresponding ranges
  • Study graphing techniques to visualize functions and their domains and ranges
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Students studying algebra, mathematics educators, and anyone seeking to deepen their understanding of functions, domains, and ranges.

Norm850
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Homework Statement



Given the function, state the domain and range. I just want to make sure my notation is correct? More specifically, the I am f, can you have the independent variable in there?

Here's my answer: http://tinypic.com/r/2nlda2q/5



Homework Equations





The Attempt at a Solution

 
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Norm850 said:

Homework Statement



Given the function, state the domain and range. I just want to make sure my notation is correct? More specifically, the I am f, can you have the independent variable in there?

Here's my answer: http://tinypic.com/r/2nlda2q/5



Homework Equations





The Attempt at a Solution

Your image is just barely legible. Instead of drawing a crude sketch of the problem, and then uploading an image of it, why not just type the problem in here?

For your problem, the domain is fine, but the range is not. All you have done is just restate the equation of the function. If the domain is the set of integers, what set do you get for the range? It might be helpful to check a few pairs of numbers.
 

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