SOLUTION: y is greater than or equal to x squared. how would you graph this?

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Question 185898: y is greater than or equal to x squared. how would you graph this?


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First, graph the equation (this curve will serve as the boundary)

Note: since there is an '=' sign in the inequality, this means that the boundary is a solid line


Graph of


Now pick a point that is NOT on the curve of . Let's pick the point (0,1). This means that we have the values and . Now plug them into the inequality:

Go back to the inequality


Plug in and


Square 0 to get 0


Since this inequality is true, this means that we shade the ENTIRE region that this point lies in. So just shade the region above the graph to get the following:





Graph of where the red line is the boundary equation (solid line) with the shaded region in green.

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