Math Problem Statement

. Determine whether the function f : Z × Z → Z is onto if a) f(m, n) = m + n. b) f(m, n) = m2 + n2. c) f(m, n) = m. d) f(m, n) = |n|. e) f(m, n) = m − n.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Function Theory
Onto Functions (Surjectivity)
Integer Operations

Formulas

f(m, n) = m + n
f(m, n) = m^2 + n^2
f(m, n) = m
f(m, n) = |n|
f(m, n) = m - n

Theorems

Definition of an Onto Function (Surjection)

Suitable Grade Level

Grades 11-12