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aussy123

  • 2 years ago

A = {(x, y): y >x2} help me graph

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  1. UnkleRhaukus
    • 2 years ago
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    can you graph y=x^2

  2. aussy123
    • 2 years ago
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    No

  3. UnkleRhaukus
    • 2 years ago
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    ok lets make a table

  4. aussy123
    • 2 years ago
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    okay

  5. UnkleRhaukus
    • 2 years ago
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    lets have x for -3 to 3 |dw:1350917238347:dw|

  6. UnkleRhaukus
    • 2 years ago
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    if y=x^2 when x= -3 y= (-3)^2=

  7. aussy123
    • 2 years ago
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    9

  8. UnkleRhaukus
    • 2 years ago
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    good , so

  9. UnkleRhaukus
    • 2 years ago
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    |dw:1350917333290:dw|

  10. aussy123
    • 2 years ago
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    So you go down the table and make the equation y= x^2

  11. UnkleRhaukus
    • 2 years ago
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    can you fill in the rest of the table?

  12. aussy123
    • 2 years ago
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    okay

  13. aussy123
    • 2 years ago
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    |dw:1350917528971:dw|

  14. UnkleRhaukus
    • 2 years ago
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    |dw:1350917500305:dw|

  15. UnkleRhaukus
    • 2 years ago
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    good work, can you polt the rest of the points?

  16. aussy123
    • 2 years ago
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    yes

  17. aussy123
    • 2 years ago
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    |dw:1350917698467:dw|

  18. UnkleRhaukus
    • 2 years ago
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    very good, now if we connect these points, then the line will be y=x^2

  19. UnkleRhaukus
    • 2 years ago
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    but the question is y>x^2

  20. aussy123
    • 2 years ago
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    but where would we shade

  21. UnkleRhaukus
    • 2 years ago
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    well if y is greater then x^2, the y values in the the shaded region must be of greater values than the y=x^2 curve

  22. UnkleRhaukus
    • 2 years ago
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    so shade the region above the curve

  23. aussy123
    • 2 years ago
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    Okay thanks, I think I have it now!!

  24. UnkleRhaukus
    • 2 years ago
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    some times it is good to choose a point and check it , say the point (0,1) which is above the curve, to check y>x^2 1>0^2 1>0 which is true, so the point is in the region

  25. aussy123
    • 2 years ago
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    ok thanks for clarifying that, I will use this method on the other questions!!

  26. UnkleRhaukus
    • 2 years ago
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    the last thing to mention is that the line in not included in the region because we are doing y>x^2 if we were doing y≥x^2, the line would be included

  27. aussy123
    • 2 years ago
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    Because of the greater than or equal sign????

  28. UnkleRhaukus
    • 2 years ago
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    so maybe draw a dashed line like this |dw:1350918432085:dw|

  29. aussy123
    • 2 years ago
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    okay is it possible to shade in more than one place?

  30. UnkleRhaukus
    • 2 years ago
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    yes

  31. UnkleRhaukus
    • 2 years ago
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    but you would need a complicated equation

  32. aussy123
    • 2 years ago
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    okay then

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