Math Problem Statement
A function f: N -> N is given by 𝑓(𝑥) = 2𝑥. Show that the function is one-one but not onto
Solution
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Math Problem Analysis
Mathematical Concepts
Functions
Injective Functions
Surjective Functions
Formulas
f(x) = 2x
Theorems
Injective Function Test (f(x1) = f(x2) implies x1 = x2)
Surjective Function Test (for all y in codomain, there exists an x in domain such that f(x) = y)
Suitable Grade Level
Grades 10-12
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