anonymous
  • anonymous
A = {(x, y): y >x2} help me graph
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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UnkleRhaukus
  • UnkleRhaukus
can you graph y=x^2
anonymous
  • anonymous
No
UnkleRhaukus
  • UnkleRhaukus
ok lets make a table

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anonymous
  • anonymous
okay
UnkleRhaukus
  • UnkleRhaukus
lets have x for -3 to 3 |dw:1350917238347:dw|
UnkleRhaukus
  • UnkleRhaukus
if y=x^2 when x= -3 y= (-3)^2=
anonymous
  • anonymous
9
UnkleRhaukus
  • UnkleRhaukus
good , so
UnkleRhaukus
  • UnkleRhaukus
|dw:1350917333290:dw|
anonymous
  • anonymous
So you go down the table and make the equation y= x^2
UnkleRhaukus
  • UnkleRhaukus
can you fill in the rest of the table?
anonymous
  • anonymous
okay
anonymous
  • anonymous
|dw:1350917528971:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1350917500305:dw|
UnkleRhaukus
  • UnkleRhaukus
good work, can you polt the rest of the points?
anonymous
  • anonymous
yes
anonymous
  • anonymous
|dw:1350917698467:dw|
UnkleRhaukus
  • UnkleRhaukus
very good, now if we connect these points, then the line will be y=x^2
UnkleRhaukus
  • UnkleRhaukus
but the question is y>x^2
anonymous
  • anonymous
but where would we shade
UnkleRhaukus
  • UnkleRhaukus
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
UnkleRhaukus
  • UnkleRhaukus
so shade the region above the curve
anonymous
  • anonymous
Okay thanks, I think I have it now!!
UnkleRhaukus
  • UnkleRhaukus
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
anonymous
  • anonymous
ok thanks for clarifying that, I will use this method on the other questions!!
UnkleRhaukus
  • UnkleRhaukus
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
anonymous
  • anonymous
Because of the greater than or equal sign????
UnkleRhaukus
  • UnkleRhaukus
so maybe draw a dashed line like this |dw:1350918432085:dw|
anonymous
  • anonymous
okay is it possible to shade in more than one place?
UnkleRhaukus
  • UnkleRhaukus
yes
UnkleRhaukus
  • UnkleRhaukus
but you would need a complicated equation
anonymous
  • anonymous
okay then

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