I've attached a problem I'm working on (4c-2) as an image. I don't understand how they interpreted the function conditions geometrically. They seem to have simply treated y as equal to x^2. However the conditions say y

Question

I've attached a problem I'm working on (4c-2) as an image. I don't understand how they interpreted the function conditions geometrically. They seem to have simply treated y as equal to x^2. However the conditions say y< or = to x^2. It seemed to me that that doesn't specify a definite function. Could someone walk me through the solution. Thanks.

anonymous · Answer

attachment

phi · Answer

I think they mistakenly left out the lower limit on x, and the conditions should read
$$ 0 \le y \le x^2 \text{  and    }  0 \le x \le 1 $$