High School Can 2x/3x Equal 2/3x Squared on a Graphing Calculator?

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SUMMARY

The equations y = 2x/3x and y = 2/3x squared produce identical graphs on a graphing calculator due to the simplification of the expression. Specifically, 2x/3x simplifies to (2/3)x, which is equivalent to (2/3)x^2 when evaluated correctly. This demonstrates that the order of operations in multiplication and division can lead to the same graphical representation when simplified properly.

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TL;DR
Functions of both graphs are identical on calculator.
On my graphing calculator y = 2x/3x gives precisely the same graph as y = 2/3x squared. How is this possible?
 
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Multiplications and divisions should be evaluated from left to right. 2x/3x = (2x/3) x = (2/3) x^2
 
Beanyboy said:
Summary: Functions of both graphs are identical on calculator.

On my graphing calculator y = 2x/3x gives precisely the same graph as y = 2/3x squared. How is this possible?
If you want the calculator to graph ##y = \frac{2x}{3x}##, write it as y = (2x)/(3x)
 
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willem2 said:
Multiplications and divisions should be evaluated from left to right. 2x/3x = (2x/3) x = (2/3) x^2
Thanks. Much appreciated.
 

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