Question

find the domain and range of y =under root of 4- x square ​

Answer 1

Explanation:

4 − x 2  ≥  0  ⇒  ( 2 − x )  ⋅  ( 2 + x )  ≥  0  which holds for  [ − 2 , 2 ]  hence

D ( f )  =  [ − 2 , 2 ]  

The range is   y = √ 4 − x 2  ⇒

⇒  y  2  = 4  −  x 2  ⇒  x 2  =  4  −  y 2  ≥  0  ⇒  ( 2 − y ) ( 2 + y )  ≥  0

 Because  

y  ≥  0  we have that  

R ( f )  =  ( 0 , 2 ) : Answer

~Shader