Shown below is is a list of points drawn in the coordinate plane (with axes hidden). [br][list][*]Note the value[b] [i]r[/i] [/b]changes as you move the points. [/*][/list]
In the app above, move these points around to make the value [b][i]r[/i] [/b]as high as you possibly can.[br][br]Is there a highest possible value for [i][b]r[/b][/i]? If so, what is it?
If you were able to answer the question above, describe what causes this value of [i][b]r[/b][/i] to be the greatest it could possibly be. Is there other possibilities for which [b][i]r[/i] [/b]is maximum?
Now move these points around to make the value [b][i]r[/i] [/b]as low as possible.[br][br]Is there a lowest possible value for [i][b]r[/b][/i]? If so, what is it?
If you were able to answer the question above, describe what causes this value of [i][b]r[/b][/i] as low as it could possibly be.[br]Is there other possibilities for which [b][i]r[/i] [/b]is minimum?
What exactly does this value [b][i]r[/i] [/b]tell us? Describe as best as you can in your own words.