document.write( "Question 629281: For the function f(x)= -(x^2-x), where x is an integer, the range can be defined as:\r
\n" );
document.write( "\n" );
document.write( "A. y is less than or equal to 0
\n" );
document.write( "B. y is greater than or equal to 0
\n" );
document.write( "C. y is less than 0
\n" );
document.write( "D. y is less than -2
\n" );
document.write( "E. y is less than or equal to -2 \n" );
document.write( "
Algebra.Com's Answer #396144 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! For the function f(x)= -(x^2-x), where x is an integer, the range can be defined as: \n" ); document.write( "A. y is less than or equal to 0 \n" ); document.write( "B. y is greater than or equal to 0 \n" ); document.write( "C. y is less than 0 \n" ); document.write( "D. y is less than -2 \n" ); document.write( "E. y is less than or equal to -2 \n" ); document.write( "----------------------- \n" ); document.write( "y = -x^2+x \n" ); document.write( "y = -x(x-1) \n" ); document.write( "----- \n" ); document.write( "x-intercepts are 0 and 1 \n" ); document.write( "Parabola opens down \n" ); document.write( "Max occurs at x = -b/(2a) = -1/(2*-1) = 1/2 \n" ); document.write( "Max value = f(1/2) = (-1/2)((1/2)-1) = -1/2*(-1/2) = 1/4 \n" ); document.write( "--- \n" ); document.write( "Range is \"All Real Numbers less than of equal to 1/4. \n" ); document.write( "============================================================= \n" ); document.write( "Note: None of your \"option answers\" is correct for the \n" ); document.write( "problem you posted. \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |