The discussion revolves around understanding the transformations of polynomial functions, specifically comparing f(x) = x^3 and g(x) = x^3 - x. Participants are exploring how the addition of -x affects the graph of the original function and what that means graphically.
The discussion is ongoing, with some participants expressing confusion about the transformations and their graphical implications. There is a mix of attempts to clarify the problem and explore different aspects of the functions without reaching a consensus.
Some participants mention a lack of clarity in the original question and the need for more specific guidance on how to represent the transformations graphically. There is also a reference to using specific points for evaluation, indicating a hands-on approach to understanding the functions.
Nelo said:Homework Statement
What is the difference between f(x)= x^3 , and g(x) = x^3 - x
Nelo said:What does that -x do to the function and how do you represent it graphically?