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
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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
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