The Basics of Functions (Leaving Cert Mathematics): Flashcards

Rule that produces one output value for each input value

Input, rule, output

Set of all possible input values

Set of all actual output values

Visual way to show how inputs connect to outputs

Each input has exactly one output

Each domain element maps to one and only one range element

(input, output)

Set of possible outputs

Range is always a subset of codomain

$f(x) = ...$, $f: x \to ...$, $y = ...$

Substitute $x = 3$: $f(3) = 2(3) + 4 = 10$

No two distinct couples have the same input

Input (x-value)