Few questions about graphing....

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Discussion Overview

The discussion revolves around understanding graphing concepts in mathematics, particularly in relation to motion and the representation of objects as points on a graph. Participants explore the implications of representing objects as "point masses," the nature of graphs, and the concept of regions versus points in graphing.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses confusion about how variables are represented on graphs, questioning whether they appear as single points or multiple points over time.
  • Another participant suggests that objects in motion are typically represented by a single point at their center of mass, introducing the concept of "point mass."
  • A participant indicates that they are unfamiliar with the term "point mass" and seeks clarification on how it simplifies graphing.
  • Questions arise about the existence of regions in graphs and whether they are represented solely by points, with a request for terminology related to these regions.
  • One participant discusses their struggle with understanding functions, roots, and their relevance to graphing, particularly in the context of an electromagnetic train.
  • Concerns are raised by other participants about the coherence of the questions and the need for a foundational understanding before delving into complex topics.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and familiarity with graphing concepts, with some seeking clarification and others suggesting a need for foundational knowledge. There is no consensus on the best approach to address the questions raised.

Contextual Notes

Some participants indicate that the questions posed are broad and lack coherence, suggesting that a more structured approach to learning the basics may be necessary. There is an acknowledgment of the complexity of the topics discussed, including the relationship between roots, differentiation, and integration.

awholenumber
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I have a few doubts about graphs ...
and how variables of an equation or expression are going to look like on a graph ... ?

are they only going to look like single points in graph ??

when we deal with the variable x .. do we deal it as an object ??

I mean .. most of the basic questions are like .. an object is moving through a space with velocity ... and its points in graph is varying at different points ...

find or try to understand the velocity of the object x .. at a specific point ?

what if the object is a bit large ... ?what I have in my mind sort of looks like these ...

I was wondering how graphs of these things are plotted ?? do they make multiple points in the graph of the path of their motion ? as in not simply a point ??
d620fa5.jpg


are they going to look like a messed up graph like this one ?
exterior-rough-carpentry.jpg

if so , which equations do i associate these advanced graphs with ?
 
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You should learn more about what mathematicians mean by a graph (of a function); if you have not learned any of this at school you could try Khan Academy (you might like to start by revising algebra basics to make sure you understand the explanations that are used later).

When we plot the motion of a solid object we usually represent the object by a single point at its centre of mass - we say that we represent the object as a "point mass".
 
that is a very new information to me ... i have never heard anyone talking about a "point mass " when doing maths ...

i have lot more questions to ask ... not sure where to begin and where to end .. right now ..

i have been trying to stare into things like these for some time now ...

c49956b.png
just trying to understand some college level maths in terms of graphs ...is there such a thing called regions in graph ? or are they only represented by points ??
does these regions have some sort of name ?
 
few more questions about graphing ... i was not familiar with this "point mass " concept ... until now ...

this concept of point mass makes graphing a little more easier .. yea ?

every time i try to plot an expression or equation ... i look it as a "point mass " ?

for example .. that function ...

actually i was lost between a lot of stuffs until now ...

from algebraic expressions to equations ...graphs ... to the roots of functions ...

i am trying to imagine a function for that electro magnetic small train ...

my first question would be what does it mean by finding the roots of such an equation ...?

the definition of a function is like a solution that makes the whole equation zero or close to zero ??

am i trying to find the root of such an equation ?

what good is it to find the solution of that function which makes the graph of the small electro magnetic train zero ??

should i be looking for something else ?

it could be like i am confusing .. finding roots .. with differentiation or integration ... ?
 
I think you need to go and learn the basics of these subjects before you ask random questions, many of which don't make sense. Even for the ones that do make sense, if you haven't learned the basics you won't understand the answers.
 
I'm sorry, but this is a mishmash of questions that are not completely coherent. And the pictures you are posting are not helping.

Please follow MrAnchovy's advice and come back with more specific questions.

Thread closed.
 
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