document.write( "Question 43507: If f(x) is an odd function and f(-3)=6,what is the value of f(6)? can you explain it for me thanks. \n" ); document.write( "
Algebra.Com's Answer #28515 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! If f(x) is an odd function and f(-3)=6,what is the value of f(6)? can you explain it for me thanks. \n" ); document.write( "A FUNCTION IS SAID TO BE ODD IF F(X)=-F(-X) \n" ); document.write( "WE ARE GIVEN F(-3)=6 \n" ); document.write( "HENCE F(-(-3))=-6 \n" ); document.write( "F(3)=-6...THAT IS ALL..THERE IS NO WAY WE CAN PREDICT F(6) \n" ); document.write( "FOR EX.1......F(X)=-2X IS AN ODD FUNCTION \n" ); document.write( "F(-3)=-2*-3=6...AND.....F(3)=-2*3=-6....SO F(-3)=-F(3)..AND...F(6)=-2*6=-12 \n" ); document.write( "EX.2..........F(X)=-2X^3/9...IS AN ODD FUNCTION..F(-3)=-2*-27/9=6 \n" ); document.write( "F(3)=-2*27/9=-6...SO F(-3)=-F(3)...AND.......F(6)=-2*216/9=-48...SO F(6) CANNOT BE PREDICTED FROM F(-3)..OR THE FUNCTION BEING ODD \n" ); document.write( " |