functions of x

Question

Determine if the following equation defines a function of x:

 

y³=x³+6x

 

Please help explain

Answer 1

Hi Naomi,

 

y = (x^3+6x)^1/3

If you draw it online, you will see that it passes the vertical line test. That is, there is only one unique value that corresponds to the values in the domain of the function.