Bounded Functions

y = 32    bounded above and below since this is a horizontal line

y =  2^x     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