Unit+3+-+Relations+and+Functions

R E M ﻿I N ﻿D E ﻿R !!!!!!!!!!!!!!! P R ﻿﻿O J ﻿E C ﻿﻿﻿T D ﻿﻿U E ﻿D E ﻿﻿﻿C E ﻿﻿M B ﻿﻿﻿﻿﻿﻿E R 1﻿﻿ 4 ﻿T H ﻿!!!!!!!!!!!!!!!!!!!!!!!!!!!

__**IMPORTANT VOCABULARY**__ __** ﻿ **__ RELATION- a relation between mathematical expressions (EXAMPLE: number of cookies to cups of milk) FUNCTION- a relation of such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) DOMAIN- the set of values of the independent variable for which a function is defined(EXAMPLE: number of cookies) RANGE- the set of values of the dependent variable for which a function is defined﻿(EXAMPLE: cups of milk) INDEPENDENT VARIABLE- the variable we change in order to measure our output(EXAMPLE: number of cookies) DEPENDENT VARIABLE- the variable that changes based on the value that is chosen for the input (EXAMPLE: cups of milk) DISCRETE VARIABLES- Variables that only represent incremental values CONTINUOUS VARIABLES- Variables that represent all numbers along an interval SPECIAL CASE- If all the variables are possible, the domain and range could be "All real numbers"

REPRESENTING DOMAIN AND RANGE: __Discrete Variables__: Use set notation! Ex: {(2,0,1)} *Domain and Range for discrete variables should be in numerical or alphabetical order! __Continuous Variables__: Use interval Notation!

__ The 5 Different Representations of Relations __ - Mapping Diagrams -Graphs -Tables -Ordered Pairs -Equations

[] [] [] [] ALL OF THESE ^ HELP IDENTIFY REAL WORLD PROBLEMS __ [] __ ﻿ this website is a written explination about functional relationships [] and here is a video explaining how to find functional relationships
 * __HELPFUL WEBSITES__**

the five different representations of mapping are mapping diagrams, tables, ordered pairs, graphs and equasions WHAT IS A FUNCTION? a special relation where each input only has one output. No values of the domain can repeat. "The output is a function of the input" DISCRETE VARIABLES variables that only represent incremental values EXAMPLE: number of people, states CONTINUOUS VARIABLES variables that represent all numbers(fractions and decimals) along an interval EXAMPLE: time, money REPRESENT DOMAIN AND RANGE DISCRETE- variables use set notation {-2,0,1} *domain and range for discrete variables should be in numerical or alphabetical order CONTINUOUS-variables use sinterval notation 0__<__x__<__12 SPECIAL CASE If all values are possible, the domain or range could be "all real numbers" R=all real numbers
 * __ BIG IDEAS __**
 * __ ﻿ ﻿ __** FIVE DIFFERENT REPRESENTATIONS OF MAPPING


 * __ REAL WORLD PROBLEMS __**
 * __ ﻿ __** The amount of people in a house depends on the amount of bedrooms.

The amount of flowers in a 4ft by 4ft square depends of the size of the flowers.