2.
AhmedPeterAliJaweriaHamadParisLondonDubaiNew YorkCyprusHas VisitedThere are MANY arrows from each person and each place is related to MANYPeople. It is a MANY to MANY relation.
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BilalPeterSalmaAlaaGeorgeAziz626466Person Has A Mass of KgIn this case each person has only one mass, yet several people have the sameMass. This is a MANY to ONE relationship
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Is the length of1430PenPencilRulerNeedleStickcm objectHere one amount is the length of many objects.This is a ONE to MANY relationship
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FUNCTIONS• Many to One Relationship• One to One Relationship
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Domain Co-domain01234123456789Image Set (Range)x2x+1A B
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f : x x2+4f(x)=x2+4The upper function is read as follows:-‘Function f such that x is mapped onto x2+4
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Consider the function f(x) = 3x − 1 We can consider this as two simplerfunctions illustrated as a flow diagramMultiply by 3 Subtract 13x 3x − 1xConsider the function f : x (2x + 5)2xMultiply by 2 Add 52x 2x + 5Square(2x + 5)2
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f : x 3x + 2 and g(x) : x x2Consider 2 functionsfg is a composite function, where g is performed first and then f is performedon the result of g.The function fg may be found using a flow diagramxsquarex2Multiply by 33x2Add 23x2+ 2g fThus fg = 3x2+ 2
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Consider the function f(x) = 5x − 23Here is its flow diagramxx5x5 -2 f(x) = 5x − 23Draw a new flow diagram in reverse!. Start from the right and go left…Multiply by 5 Subtract 2 Divide by threeMultiply by threeAdd twoDivide by 5x3x3x +23x +25f−1(x) = 3x + 25And so
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