Functions-Domains,Ranges and Subsets.

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SUMMARY

The discussion focuses on understanding functions, specifically regarding domains, ranges, and subsets. The first problem involves identifying the largest subset of real numbers for the function defined by the equation {x,y):y=5-x} and determining if the function is onto when set A equals set B. The second problem addresses how to analyze a graph to determine if it represents a function and to identify its domains and ranges. Key concepts include the definitions of subsets and functions, which are critical for solving these problems.

PREREQUISITES
  • Understanding of functions and their properties
  • Knowledge of domains and ranges in mathematics
  • Familiarity with subsets in set theory
  • Ability to analyze graphical representations of functions
NEXT STEPS
  • Study the concept of "onto" functions in set theory
  • Learn how to determine domains and ranges from function graphs
  • Explore the definition and properties of subsets in mathematics
  • Practice identifying functions from various graphical representations
USEFUL FOR

Students studying mathematics, particularly those focusing on functions, set theory, and graph analysis. This discussion is beneficial for anyone needing clarity on domains, ranges, and the concept of subsets.

Demoniac
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Homework Statement


Can you please explain in as much detail as possible the two following problems?
1.Each set is a function from set A to set B. a.What is the largest subset of the real numbers that can be set A, the domain of the given function? b. If set A=set B, is the function onto? Justify your answer. The problem is {x,y):y=5-x}.

2.For the next problem I can't actually show you the graph but I have to determine if the graph represents a function and I have to state the domains and ranges. How would I do this on a graph?

And what exactly is a subset?

Homework Equations



None.

The Attempt at a Solution


I couldn't even seem to wrap my head around the problem. I just couldn't figure it out. I stared at it for about an hour and I still couldn't understand it.
 
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Do a Wikipedia on what a subset and a function is.
 

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