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shelby1290
 one year ago
Determine whether the following relations are functions. Give the appropriate reason for your answer. *pictures included
a) {1,3), (2,3), (3,2), (1,4), (4,1)}
b) picture
c)picture
d)picture
e)picture
shelby1290
 one year ago
Determine whether the following relations are functions. Give the appropriate reason for your answer. *pictures included a) {1,3), (2,3), (3,2), (1,4), (4,1)} b) picture c)picture d)picture e)picture

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you want to know that a relation is function look at the x of every ordered pair.if you saw that one of x is repeated and their y isn't same that relation isn't a function for example : {(1,2),(1,3)} is not a function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for b do two arrows come out of any number?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and for d and e we use a test :vertical line test If a vertical line can be drawn that crosses two points on the graph of the relation, then the relation is not a function.

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@amirreza1870 i see...but what if your x values aren't the same but one of yvalues is repeated twice? Is that a function?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442369545961:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0^like that for example

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@satellite73 no they don't. Does that make it a function or not a function? How about part c?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0y values are unimportant for determining if it is a function or not

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0then what must I pay attention to?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since there is only one arrow out of each domain element, then it IS a function

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0I always get confused when it comes to identifying them

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0only pay attention to the x values if they are repeated, it is NOT a function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no a is a function but it is not onetoone

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0don't fret about "one to one" yet, worry about that later

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@amirreza1870 what's onetoone ?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0verticaldw:1442369892767:dw line test is easy if you have a graph

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i an sorry about using oneto one but that means a function that for every x ,y is a different number for example {(1,3),(2,3)} is function because 1 and 2 are different but it's not onetoone because their y is same.

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@misty1212 so part d is a function because it passes the vertical line test and doesn't go through more than one point? and part e) is not a function because it failed the vertical line test and passes through more than one point

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@amirreza1870 okay i get that so if the xvalues are different its referred to as onetoone ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no. if the y values are different it is a onetoone function.the difference of x values show that relation is function

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0ahhhh okay so... onetoone=not a function difference in xvalues=function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we use this expression (onetoone) for a function. so a relation must be a function if we want to see that is onetoone or not

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think it's better to use a Venn diagram dw:1442371114951:dw as you can see only one arrow comes out of a and b so this is a function but their y is same (we said if the y was different it is onetoone) so it is not onetoone

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0alright that makes sense thanks for the help!
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