Scene 4
Aristotle University of Thessaloniki -- Greece
A Greek manuscript filled with philosophical writings was found on a table next to a dozen empty cans
of Mountain Dew. Investigators believe the Diophantus was attempting to translate the document.
My sweet Christine, tis best if we can improve our relations. Remember that relations may take many
different forms and look different ways -- masks of a sort. Unfortunately only one of our famous Greek
friends could translate their relation correctly every time. Who's right?
R = {(1, 4), (-2,5), (5, 5), (2, 3), (-1, -1)}
Inverse
Domain & Range
Table, Mapping Is it a
Relation, or Graph Function?
Greek Mathematician
Aristotle
x = 10
Yes
D: (-2,-1, 1, 2,5}
R: {-1, 3, 4,5}
-25
5
2
-I-1
{(4,1), (2,-5),
(5,5), (3, 2),
(-1, -1)}
Euclid
Yes
{(4,1), (5,-2),
(5,5), (3, 2),
(-1,-1)}
D: {-2,-1, 1, 2,5
R: {-1, 3, 4, 5}
le = -5
Plato
D: (-2,-1,1,3,5}
R: {-1, 2, 4,5}
Ju = -4
ANUN)
Yes
ܧܵ ܩ ܚܝ
{(4,1), (5, -2),
(5,5), (3, 2),
(-1,-1)}
Ptolemy
W = 0
D: {-2, -1, 1, 2,5}
R:{-1,3,4,5)
Yes
{(4,1), (5,-2),
(5,5), (3, 2),
(-1,-1)}
Pythagoras
k = 20
D: (-2,-1, 1, 2,5
R:(-1,3,4,5)
ANUN)
won
No
{(4,1), (5,-2),
(5,5), (3, 2),
(-1,-1)]
Who's right?