Is xy2 a function

Answer 1

To determine if ( xy^2 ) is a function, we need to understand the context in which it's used. If we treat ( y ) as a dependent variable and ( x ) as the independent variable, ( y ) can take on multiple values for a single ( x ) (for example, both positive and negative values of ( y ) can satisfy the equation ( y^2 = \frac{z}{x} ) for some constant ( z )). Therefore, ( xy^2 ) does not define ( y ) as a function of ( x ) in general situations, as it can produce multiple outputs for a single input.