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Relations and Functions Mind Map

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by

Maria Y

on 17 January 2014

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Transcript of Relations and Functions Mind Map

RELATIONS
AND
FUNCTIONS RELATIONS Functions Definition: A connection between two objects of two sets A relationship between values, where
each element in the domain
is linked to exactly one element
in the range There are various ways to show relations As a Table :) (Not THIS kind of table...) As a set of ordered pairs Write the relation in words As an Arrow Diagram (Image credit: http://media.nlsd113.org/picture/Domain-and-Range--Arrow-Diagram/0c2965dd5607ad0deca58e39660f1d66) Example: The relations shows “has the number of wheels” between the set of vehicles and the set of numbers. Example: ( "Pairs" not "PEARS" Example: {(motorbike, 2), (trike, 3), (quad,4), (UTV,4)} Example: Linear Relation A constant change in the independent variable results in a constant change in the dependent variable Dependent variable= (rate of change) (independent variable) + initial value
AKA: y=mx +b Constant change in the indepentdent variable
=
Constant change in the dependent variable Example: (Image Credit:
http://www.utdanacenter.org/mathtoolkit/instruction/activities/alg1.php) Rate Of Change How to calculate the rate of change:
Divide the dependent variable
by the independent variable
AKA: change in y ÷ change in x
AKA: slope Example:
It costs $5 for 500cm of cloth.
*rate of change in dependent variable: +500cm
*rate of change in independent variable: = +5
500 ÷ 5 = 100
So, the rate of change is 100cm/dollar. [Example created by me.] No two points on the graph of a function will have the same x-value Example: (Image credits:
http://www.chegg.com/homework-help/questions-and-answers/q1-sum-integral-multiples-6-5-to99-use-formula-sum-theseries--q2-functions-set-rsquo-x-rsq-q856783
http://www.chegg.com/homework-help/questions-and-answers/q1-sum-integral-multiples-6-5-to99-use-formula-sum-theseries--q2-functions-set-rsquo-x-rsq-q856783 Linear Function:
an equation which makes a straight line on a graph, that is not vertical Example: Credit:
http://www.icoachmath.com/math_dictionary/Linear_Function.html 1st set of elements: Domain, x values independent variable
2nd set of elements: Range, y values, dependent variable Graphs Credit: http://www.mathcomposer.com/Graphs.htm If the values are limited to discrete values, the points are not connected Continuous Graphs
Example: Credit: http://catalog.flatworldknowledge.com/bookhub/reader/4372?e=fwk-redden-ch07_s02 Discrete Graphs Example: Credit: http://www.mathplanet.com/education/algebra-1/visualizing-linear-functions/linear-equations-in-the-coordinate-plane You can check if a relation is a linear function with a graph...
The line will be straight, but never vertical Credit:
http://www.wyzant.com/help/math/algebra/functions Not a linear function By: Maria Yanagisawa
F&P 10
Block 3
February 2013
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