Question 1195871
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Notice that the range of the function  y(x) = x^2   is from  0  to infinity,  i.e.  [0,oo),

which is obvious.


The range of the function  z(x) = x^2 - 25  is  25  units shifted down the range of the function  y(x).


Thus the range of the function  x^2-25  is  [-25,oo),  i.e.  from  -25  to infinity.