Let f be a real-valued function defined over ordered pairs of integers such that f(x+3m−2n,y−4m+5n)=f(x,y) for every integers x,y,m,n. At most how many elements does the range set of f have?<spanclass=′latex−bold′>(A)</span>7<spanclass=′latex−bold′>(B)</span>8<spanclass=′latex−bold′>(C)</span>15<spanclass=′latex−bold′>(D)</span>49<spanclass=′latex−bold′>(E)</span>Infinitely many