document.write( "Question 74222: find the range of the function given f(x)=-x^2+3x-5 ; domain={-1,3} \n" ); document.write( "
\n" ); document.write( "find the range of the function given f(x)=-x^2+3x-5 ; domain={-1,3}\r\n" ); document.write( "\n" ); document.write( "to find the range, we are going to substitute values of x to f(x)=-x^2+3x-5\r\n" ); document.write( "\n" ); document.write( "When x = -1\r\n" ); document.write( "\n" ); document.write( " f(x)= -x^2 + 3x - 5\n" ); document.write( " = -(-1)^2 + 3(-1) - 5\n" ); document.write( " = -1 - 3 - 5\n" ); document.write( " = -9\r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "When x = 3\n" ); document.write( " f(x)= -x^2 + 3x - 5\n" ); document.write( " = -(3)^2 + 3(3) - 5\n" ); document.write( " = -9 + 9 - 5\n" ); document.write( " = -5\r\n" ); document.write( "\n" ); document.write( "Range = {-9, -5}