The discussion revolves around the equivalence of the expressions y = 2x/3x and y = 2/3x squared as represented on a graphing calculator. Participants explore the implications of how these expressions are interpreted and graphed, focusing on mathematical evaluation and notation.
Participants express differing views on the interpretation of the expressions and their graphical representations. There is no consensus on the underlying mathematical principles or the implications of the notation used.
There are limitations regarding the assumptions made about the order of operations and how expressions are input into the calculator, which may affect the interpretation of the results.
If you want the calculator to graph ##y = \frac{2x}{3x}##, write it as y = (2x)/(3x)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?
Thanks. Much appreciated.willem2 said:Multiplications and divisions should be evaluated from left to right. 2x/3x = (2x/3) x = (2/3) x^2