# SOLUTION: What is the range of y=sqrt(16-x^2)

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 Click here to see ALL problems on Functions Question 562208: What is the range of y=sqrt(16-x^2)Answer by stanbon(57387)   (Show Source): You can put this solution on YOUR website!What is the range of y=sqrt(16-x^2) ---- Sqrt can never be negative. Solve 16-x^2 >= 0 (x-4)(x+4) <= 0 Draw a number line and plot x = -4 and x = 4 ---- Test a value in each of the three intervals: (x-4)(x+4) < 0 --- If x = -10 ; -*- < 0 ; false If x = 0 ; -*+ < 0 ; true, so solutions in [-4 , 4] If x = +10 ; +*+ < 0 ; false ===================================== Range: -4 <= x <= 4 ======================== Cheers, Stan H.