Function

A function from set A

A function from set A to set B is a rule that assigns to each element of A exactly one element of B. Mathematically, if f: A → B, then for every x ∈ A

For function f

For function f: A → B: Domain (Df) = set A (input values), Codomain = set B (possible output values), Range (Rf) = {f(x) | x ∈ A} (actual output value

Functions are denoted as f

Functions are denoted as f: A → B, read as 'f maps A to B'. The value of function f at x is written as f(x). Step-by-step notation: (1) Write f: follo

A function f

A function f: A → B is one-one if different elements in domain have different images in codomain. Mathematically: if x₁ ≠ x₂, then f(x₁) ≠ f(x₂). Test

A function f

A function f: A → B is many-one if at least two different elements in domain have the same image in codomain. Test: if x₁ ≠ x₂ but f(x₁) = f(x₂), then