2.1 Relations and Functions

Question 1

Relation

Answer 1

Is a set of pairs of input and output values.

Question 2

Domain

Answer 2

Of a relation is the set of all inputs or x-coordinates of the ordered pairs.

Question 3

Range

Answer 3

Of a relation is the set of all outputs or y-coordinates of the ordered pairs.

Question 4

Mapping Diagram

Answer 4

Which links elements of the domain with corresponding elements of the range.

Question 5

Function

Answer 5

Is 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

On the graph of a relation to tell whether the relation is a function. If a vertical line passes through at least two points on the graph, then one element of the domain is paired with more than one element of the range.

Question 7

Function Notation

Answer 7

f (x) f of x or a function f or x