Discrete MathLogic Given the function fmn m2n3 where Z x Z

Discrete Math/Logic

Given the function f(m,n) = m²+n³, where :Z x Z -> ;

a) Is f one to one? Prove or disprove.

b) Is f onto? Prove or disprove

Solution

a. f is not one to one because m = n = 0 gives 0 while m = n = -1 gives 0.

b. f is onto because there is no limitation in the values in the range that can be substituted for f, and each value in the range is assigned to at least 1 value in the domain.