Which of the following sets of points would give functions?

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SUMMARY

The discussion centers on identifying whether a given set of points represents a function. The set provided, {(1,4),(2,5),(3,6),(4,7),(5,8)}, is confirmed to represent a function because each first element (x-value) is unique, ensuring that no x-value corresponds to multiple y-values. This adheres to the definition of a function, which requires that each input is associated with exactly one output. The explanation clarifies that the absence of repeated x-values in the set confirms its validity as a function.

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  • Understanding of mathematical functions and their properties
  • Familiarity with ordered pairs and coordinate systems
  • Basic knowledge of domain and range concepts
  • Ability to analyze sets of points for uniqueness in x-values
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  • Study the definition and properties of mathematical functions
  • Learn about domain and range in the context of functions
  • Explore examples of functions and non-functions using ordered pairs
  • Practice identifying functions from various sets of points
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Students studying mathematics, particularly those focusing on functions and their properties, as well as educators looking for clear explanations of function definitions.

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ok... this is the thing... I've got a math assignment due tomorrow and i need help! argh.. its on functions so if there's anybody who can help me, please do..

if you could, would you help me with this question:

"Which of the following sets of points would give functions? Explain your answer."
{(1,4),(2,5),(3,6),(4,7),(5,8)}

i'd really appreciate it...
thx :confused:
 
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I'm not sure I understand the question. There seems to be only one set. Further, "points" don't necessarily have anything to do with functions. I assume that the first member of the pairs is in the domain of a function, and the second member is the range -- but I'm still not sure what it means to "give a function."

Can you provide more context on how this question was presented?

- Warren
 
A list of (x,y) pairs certainly can give a function. In a sense it is y= f(x) where x must be one of the first numbers in the pairs and y is the second number in that same pair. A "function" specifically has the property that you do not have the same "x" (first number) with two different "y"s (second number). That is, you cannot have, for example, (3, 7) and (3, 5) in the same "function". Since, in the example given, the first numbers are 1, 2, 3, 4, 5 with no repeats, it IS a function.
 

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