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