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cutiecomittee123

  • one year ago

Which equation defines a function? a. x= |y| b. y=[[x]] c. x=1/8y^2 d. x^2+y^2=49

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  1. ybarrap
    • one year ago
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    Remember that a function can have ONE value for every y value. Do the vertical line test. Graph the equation and if more than ONE point goes through any part of the graph, it is NOT a function. Try this vertical line test on this function (your last one): http://www.wolframalpha.com/input/?i=x%5E2%2By%5E2%3D49

  2. cutiecomittee123
    • one year ago
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    So the last one doesn't work since it is a circle.

  3. cutiecomittee123
    • one year ago
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    a is just a line c is a parabola

  4. ybarrap
    • one year ago
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    |dw:1433718060468:dw|

  5. ybarrap
    • one year ago
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    Does a) and b) pass the vertical line test?

  6. cutiecomittee123
    • one year ago
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    b passes. a on the other hand could?

  7. ybarrap
    • one year ago
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    Could or does? |dw:1433718220009:dw|

  8. cutiecomittee123
    • one year ago
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    So then b is a function right??

  9. cutiecomittee123
    • one year ago
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    a doesnt pass

  10. ybarrap
    • one year ago
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    Correct on last two! |dw:1433718284617:dw|

  11. cutiecomittee123
    • one year ago
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    So y=[[x]] defines a function

  12. ybarrap
    • one year ago
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    Check it! What's the equation look like?

  13. cutiecomittee123
    • one year ago
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    http://www.wolframalpha.com/input/?i=y%3D%5B%5Bx%5D%5D

  14. cutiecomittee123
    • one year ago
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    a line

  15. ybarrap
    • one year ago
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    What does [[x]] mean?

  16. cutiecomittee123
    • one year ago
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    Not too sure?

  17. ybarrap
    • one year ago
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    me neither, lol

  18. ybarrap
    • one year ago
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    I think it may mean take the integer part. Checking now

  19. cutiecomittee123
    • one year ago
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    Okay

  20. cutiecomittee123
    • one year ago
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    Hey well I have another question so I've got to go:)

  21. ybarrap
    • one year ago
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    ok

  22. ybarrap
    • one year ago
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    This is the closet -- http://planetmath.org/integerpart In this case, it passes the vertical line test

  23. ybarrap
    • one year ago
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    What about c)?

  24. cutiecomittee123
    • one year ago
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    c is a parabola and can be a function but I dont know

  25. cutiecomittee123
    • one year ago
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    I think b was just a better representation

  26. ybarrap
    • one year ago
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    |dw:1433722831537:dw|

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