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Bounded Functions

AdamTaurus  Sep 26, 2017
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y = 32    bounded above and below since this is a horizontal line

 

y =  2x     bounded below by the x axis.....unbounded above

 

y = 2 - x2  this is an inverted parabola with a vertex at (2,0)....thus...it is bounded above and unbounded below

 

y = √ [ 1 - x2 ]       this is the upper part of a circle with a radius of 1.....thus....it is bounded below and above

 

y = x2 √ [ x + 4 ]  ......this one is hard to see......look at the graph here :

 

https://www.desmos.com/calculator/oblelcc1ie

 

Notice that it is bounded below but not above

 

 

 

cool cool cool

CPhill  Sep 26, 2017

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