2.1 Relations and Functions

Question 1

Relation

Answer 1

A set of pairs of input and output values.

Question 2

Mapping diagram

Answer 2

Links elements of the domain with corresponding elements of the range.

Question 3

Domain

Answer 3

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

Question 4

Range

Answer 4

Set of all outputs, or y- coordinates of the ordered pairs.

Question 5

Function

Answer 5

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

Question 6

Vertical line test

Answer 6

You can use the vertical line test to determine whether a relation has at least one element of the domain paired with more than one element of the range. if a vertical line passes through two or more points on the graph, then the relation is not a function.

Question 7

Function Notation

Answer 7

If F is the name of a function, the function notation f(x) also indicates the function name.