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Let R be defined on ℕ by R = {(x, y) : y = 2x, x, y ∈ ℕ}. Identify the correct description.
AA function with domain ℕ, codomain ℕ, range = even naturals
BNot a function — multiple images for some x
CNot defined for all x ∈ ℕ
DA function with range = ℕ
Answer & Solution
Correct answer: A. A function with domain ℕ, codomain ℕ, range = even naturals
For each x ∈ ℕ, y = 2x is unique — so R is a function. Domain = ℕ. Codomain = ℕ (by definition). Range = {2, 4, 6, ...} = even natural numbers. Even-naturals ⊂ ℕ.
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