You have a function whose domain is the real numbers, and whose range is a subset (or equal to) the plane, .

Since x(q)=2+q, then the range of x(q) is the real numbers, , and since y(q)=4-2q the range of y(q) is also , therefore, since the function is parametric, the range of the function is the cartesian product of these two ranges, .

so the function is