2-1 Relations and Functions (Study Guide)

what is the range

the set of outputs, also called the y-coordinates

what are the domain and range of this relation? {(-3,14),(0,7),(2,0),(9,-18),(23,-99)}

domain: {-3,0,2,9,23}, range: {-99,-18,0,7,14}

What is the domain of a relation

the set of inputs, also called the x-coordinates

The monthly average water temperature of the Gulf of Mexico in key West, Florida varies during the year. In January the average water temperature in 69 degrees F, in February 70 degrees F, in March 75 degrees F, and in April 78 degrees F. How can you represent this relation in four different ways?

Look at pic

Representing Relations: -Show an example of mapping diagram

Represent each entity with a tabl

Representing relations: Show an example of ordered pairs

(input, output) (x, y) (-3,4) (3,-1) (4,-1) (4,3)

A relation is identified as a function if:

- Its graph passes the vertical line test - Its domain values appear only once (in a list of ordered pairs, in a table, or a mapping diagram) - Its mapping diagram maps each input to only one output (this means only one arrow can be drawn from each input value)

Name 4 ways you can represent relations

1) Ordered pairs 2) Mapping diagram 3) Table of values 4) Graph

What is a relation?

A set of pairs of input and output values

What do the arrows show in a mapping diagram

Arrows show how to pair each input with an output