2.1 Relations and Functions

Question 1

Relations

Answer 1

A relation is a set of pairs of input and output Values.

Question 2

Domain

Answer 2

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

Question 3

Range

Answer 3

The range of a relation is the set of all outputs, or y-coordinates of the ordered pairs

Question 4

Mapping Diagram

Answer 4

Another way to show a relation is to use a mapping diagram , which links elements of the domain with corresponding elements of range.

Question 5

Function

Answer 5

A function is a relation in which each element if 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 on the graph of a relation to tell whether the relation is a function.

Question 7

Function notation

Answer 7

you read the function notation f(x) as “f of x” or a function f or x. Note that f(x) does not mean “ f times x.”When the value of x is 3, f(3), read “f of 3” represents the value of the function at x=3.