How would I graph this in my TI-83?

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Homework Help Overview

The problem involves graphing the equation |y| = 7 - x, with participants discussing how to represent this equation on a TI-83 calculator. The context includes exploring the implications of absolute values and the relationship between x and y.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss different methods for graphing the equation, including switching the variables and using parametric plots. There are also suggestions to graph two lines based on the absolute value definition.

Discussion Status

Several approaches have been proposed, including switching x and y and using parametric equations. Participants are engaging with the problem and exploring different interpretations of the equation without reaching a consensus.

Contextual Notes

Some participants note the challenge of graphing the equation due to the absolute value and the need to consider both branches of the function. There is an acknowledgment of the limitations of the calculator in representing certain forms of the equation.

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Homework Statement



|y| = 7-x

The closest I can do is y=abs(7-x), but this just gives me a straight line along the y axis. Thank you for your time.


Homework Equations





The Attempt at a Solution

 
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hyde2042 said:

Homework Statement



|y| = 7-x

The closest I can do is y=abs(7-x), but this just gives me a straight line along the y axis. Thank you for your time.
In this case x is a function of y, rather than y being a function of x.

You can either:
(1). Graph x on the vertical axis & y on the horizontal axis by switching x & y in your equation, then solve for y.

(2). Do a parametric plot: Let yt = t and xt = 7 - abs(t), because x = 7 - |y|. Have t go from -20 to 20.​
 
hyde2042 said:

Homework Statement



|y| = 7-x

The closest I can do is y=abs(7-x), but this just gives me a straight line along the y axis. Thank you for your time.


Homework Equations





The Attempt at a Solution


You could graph two lines: y = 7 - x and -y = 7 - x [better known as y = x - 7]

This would give to two intersecting lines making a large X

You only want two if the branches.

You want either the V, the inverted V [can't type it upside down] or the left hand two [>] or the right hand two [<].

You could test the original expression by chosing a known point on each of the sections, to check which two you want, if you can't think of any other way of doing it.
 
Ah. THank you guys. I wish I thought of those methods.
 

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