This is a polynomial.......any polynomial always has a domain of all real numbers (-inf, inf)
The range is trickier.....it may - or may not - have all real numbers included
Y = (x/100) (x - 10) (x - 15)( (1/2)x - 1)((1/4)x - 2)^2
Here's the graph of this : https://www.desmos.com/calculator/gkswnwh9zr
Since it's a 6th power polynomial......the end behavoir on both sides of the y axis will be positive......
It appears that the lowest value of y taken on by this function occurs at about (13.714 , -7.829)
So....the range appears to be (-7.829, inf) [ .....the graph increases without bound at its endpoints ]