you plug in (ideally) all values of x, and every value of the function that pops out is the range. fortunately for this problem, we can just plug in the 2 limits of x that we found (0 and 1) into the formula and it gives us the answers.
range = [0,1] which means, if we plug in ANY value of x between 0 and 1 (because those asre the only values it can have without making the function not work), it will give us a number somewhere between 0
you can say that y is the dependant variable and x is INdependant, because you have to find the values of x that will work, but once you do, you can just plug them in and solve the function and it will give you the range values (meaning you dont have to find them like you did with x because y is dependant upon whatever x is).