2.1: Relations and Functions

Question 1

Relation

Answer 1

A set of pairs of input and output values.

Question 2

Domain

Answer 2

The set of all inputs, or x-coordinates of the ordered pairs.

Question 3

Range

Answer 3

`The set of all outputs, or y-coordinates of the ordered pairs.

Question 4

Mapping Diagram

Answer 4

A diagram that links elements of the domain with corresponding elements of the range.

Question 5

Function

Answer 5

A relation in which each element of the domain is paired with exactly one element in the range.

Question 6

Vertical-Line Test

Answer 6

A test on a graph of a relation used to tell whether the relation is a function.

Question 7

Function Notation

Answer 7

f(x) as “f of x” or “a function f of x.” f(x) doesn’t mean “f times x.”