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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

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  1. shelby1290
    • one year ago
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  2. shelby1290
    • one year ago
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  3. anonymous
    • one year ago
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    if 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.

  4. anonymous
    • one year ago
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    for b do two arrows come out of any number?

  5. anonymous
    • one year ago
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    and 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.

  6. shelby1290
    • one year ago
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    @amirreza1870 i see...but what if your x values aren't the same but one of y-values is repeated twice? Is that a function?

  7. shelby1290
    • one year ago
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    |dw:1442369545961:dw|

  8. shelby1290
    • one year ago
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    ^like that for example

  9. misty1212
    • one year ago
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    HI!!

  10. shelby1290
    • one year ago
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    @satellite73 no they don't. Does that make it a function or not a function? How about part c?

  11. misty1212
    • one year ago
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    y values are unimportant for determining if it is a function or not

  12. shelby1290
    • one year ago
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    then what must I pay attention to?

  13. anonymous
    • one year ago
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    since there is only one arrow out of each domain element, then it IS a function

  14. shelby1290
    • one year ago
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    I always get confused when it comes to identifying them

  15. misty1212
    • one year ago
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    only pay attention to the x values if they are repeated, it is NOT a function

  16. anonymous
    • one year ago
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    no a is a function but it is not one-to-one

  17. misty1212
    • one year ago
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    don't fret about "one to one" yet, worry about that later

  18. shelby1290
    • one year ago
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    @amirreza1870 what's one-to-one ?

  19. misty1212
    • one year ago
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    vertical|dw:1442369892767:dw| line test is easy if you have a graph

  20. anonymous
    • one year ago
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    i an sorry about using one-to -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 one-to-one because their y is same.

  21. shelby1290
    • one year ago
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    @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

  22. shelby1290
    • one year ago
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    @amirreza1870 okay i get that so if the x-values are different its referred to as one-to-one ?

  23. anonymous
    • one year ago
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    no. if the y values are different it is a one-to-one function.the difference of x values show that relation is function

  24. shelby1290
    • one year ago
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    ahhhh okay so... one-to-one=not a function difference in x-values=function

  25. anonymous
    • one year ago
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    we use this expression (one-to-one) for a function. so a relation must be a function if we want to see that is one-to-one or not

  26. anonymous
    • one year ago
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    i 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 one-to-one) so it is not one-to-one

  27. shelby1290
    • one year ago
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    alright that makes sense thanks for the help!

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