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# Relations and Functions Mind Map

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## 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: