TITLE: Domain and Range # !b2 Problem: Find the Domain D and Range R for the function, > f := (x,y) -> sqrt(x-y); # !b3 Solution: Clearly this function is defined where the square root is defined, i.e. for all non negative real numbers. !c0 D = {(x,y) : x >= y}
The range is the set of values that f(x,y) can take. We have, !c0 R = {z : z >= 0} since f(x,y) is defined as the POSITIVE square root of (x-y). >