Why doesn't Desmos show the X-intercept for non-linear equations?

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Discussion Overview

The discussion revolves around the behavior of the graphing tool Desmos, specifically regarding the display of x-intercepts for non-linear equations compared to linear equations. Participants explore the conditions under which Desmos shows intercepts and the implications of plotting functions versus equations.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants note that Desmos displays x and y-intercepts for linear equations but not for certain non-linear equations like sin(50)=5/x.
  • Others argue that the distinction lies in whether x is in the numerator or denominator of the equation, suggesting that this affects the visibility of intercepts.
  • A participant mentions that zooming out on the graph can reveal intercepts that are outside the default viewing range.
  • There is a discussion about the difference between plotting a function and solving an equation, with some asserting that Desmos treats these operations differently.
  • Some participants express skepticism about the explanations provided, questioning the consistency of intercept visibility across different forms of equations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the reasons behind the behavior of Desmos regarding x-intercepts. Multiple competing views remain, particularly concerning the role of the numerator and denominator in equations and the impact of zooming on intercept visibility.

Contextual Notes

Participants highlight limitations in understanding the graphical representation of equations versus functions, as well as the potential for intercepts to be outside the default zoom range.

CallMeDirac
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Often in desmos when you graph a line it shows the X and Y-intercept with a grey dot.
However when I graph something like sin(50)=5/x it doesn't show
which I find odd because sin(x) does show the intercepts

It only gets more complicated when graphing tangent and cosine. Both DO show the X-intercept. Further Cotangent and Secosine also do show the intercept.

why
 
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I don't know desmos, but what do you expect when plotting "something like sin(50)=5/x "?
Hint1: sin(x) is a function, your other expression is an equation
Hint2: sin(50) is a constant, 5 is a constant, so what is the solution of your equation?
 
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I was wrong

Turns out its not the function (sine tan etc.)
it's where the x is

if the x is the numerator ( sin(60)=x/30) it will show the dot
but if it is the denominator (sin(60)=30/x) it wont

still why
 
lomidrevo said:
I don't know desmos, but what do you expect when plotting "something like sin(50)=5/x "?
Hint1: sin(x) is a function, your other expression is an equation
Hint2: sin(50) is a constant, 5 is a constant, so what is the solution of your equation?

I was just talking about intercepts
it only shows the x-intercept when the x is in the numerator (see previous post)

edit: desmos will show the x-intercept for equations (65+x=180 will show an intercept at 115)
 
It shows, you just need to zoom out the graph. If you solved your equations, you would see that solution for ##x## are located out of the range of the default zoom (in my browser it is from -10 to 10).

As I told you in my previous post, plotting a function (like ##y=f(x)##) and solving a linear equation with one unknown are not the same operation. It is a feature of this tool, that it gives you the solution graphically. That is a vertical line for constant ##x##. However, I am not sure what is skeptical about my post according to you. Both provided hints would lead you to discover answer to your question.
 
lomidrevo said:
It shows, you just need to zoom out the graph. If you solved your equations, you would see that solution for ##x## are located out of the range of the default zoom (in my browser it is from -10 to 10).

That's irrelevant
 
lomidrevo said:
As I told you in my previous post, plotting a function (like ##y=f(x)##) and solving a linear equation with one unknown are not the same operation. It is a feature of this tool, that it gives you the solution graphically. That is a vertical line for constant ##x##.

that would make sense if the x intercept was also not present in the equation with the numerator.

lomidrevo said:
However, I am not sure what is skeptical about my post according to you. Both provided hints would lead you to discover answer to your question.

You didn't, that's why I used a skeptical reaction. I explained in a previous post that it plots similar equations, furthermore the question was about a grey point showing the x-intercept not the lack of a representative line.
 

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