document.write( "Question 562208: What is the range of y=sqrt(16-x^2) \n" ); document.write( "
Algebra.Com's Answer #364489 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is the range of y=sqrt(16-x^2) \n" ); document.write( "---- \n" ); document.write( "Sqrt can never be negative. \n" ); document.write( "Solve 16-x^2 >= 0 \n" ); document.write( "(x-4)(x+4) <= 0 \n" ); document.write( "Draw a number line and plot x = -4 and x = 4 \n" ); document.write( "---- \n" ); document.write( "Test a value in each of the three intervals: \n" ); document.write( "(x-4)(x+4) < 0 \n" ); document.write( "--- \n" ); document.write( "If x = -10 ; -*- < 0 ; false \n" ); document.write( "If x = 0 ; -*+ < 0 ; true, so solutions in [-4 , 4] \n" ); document.write( "If x = +10 ; +*+ < 0 ; false\r \n" ); document.write( "\n" ); document.write( "===================================== \n" ); document.write( "Range: -4 <= x <= 4 \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |