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

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The graphs of y = 2x/3x and y = 2/3x squared are identical on a graphing calculator due to the way the expressions simplify. The expression 2x/3x can be rewritten as (2/3)x, which is equivalent to (2/3)x^2 when evaluated correctly. This demonstrates that both functions yield the same result when plotted. Understanding the order of operations in multiplication and division is key to this equivalence. Thus, both equations represent the same function graphically.
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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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