Given the function:
[tex]y-3x^3=2[/tex]Clearing y:
[tex]y=3x^3+2[/tex]And now, we are going to analyze the domain of the function:
As you can see, the function is a polynomial. In this case the function will exist at all values of x.
that is, there will always be an image in y for each value of x.
Therefore, the equation is a function.
