A question on plotting functions on a graph

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Discussion Overview

The discussion revolves around the graphical representation of single-valued functions in single variable calculus, specifically addressing a statement regarding vertical lines and their intersection with the graph of a function.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the validity of the definition of a single-valued function, suggesting that if vertical lines intersect the graph at multiple points, it contradicts the function's single-valued nature.
  • Another participant prompts for a drawing to clarify the misunderstanding of the statement regarding vertical lines and their intersections with the graph.
  • A later reply indicates that the initial confusion has been resolved.

Areas of Agreement / Disagreement

There appears to be initial disagreement regarding the interpretation of the definition of a single-valued function, but this disagreement seems to have been addressed by the end of the discussion.

Contextual Notes

The discussion does not clarify the specific assumptions or definitions that may influence the interpretation of the graphical representation of functions.

#neutrino
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when i was reading a supplementary notes doc from open course ware fro MIT on single variable calculus there was a description about a graphical representation of a single valued function as
" if each line parallel to the y- axis and which passes through a point in the domain intersects the graph at only one point then our function is single valued " my point is since it is a line drawn parallel to the y- axis for each input there will be several outputs ,therefore how come it is a function at all?
 
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Make a drawing and indicate what you read from this sentence. It seems to me you misunderstand the statement...
 
thanks got it
 
You're welcome.
 

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