document.write( "Question 1064134: Y=-6x^3+7x symmetric with the y axis, the x axis or the origin? \n" ); document.write( "

Algebra.Com's Answer #679248 by KMST(5328) $\"\"$ $\"About$

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The equation $\"Y=-8x%5E3%2B7x\"$ assigns one and only one $\"Y\"$ value to each $\"x\"$ value.
\n" ); document.write( "It determines Y as a function of x.
\n" ); document.write( "It cannot have the same x associated with Y and with -Y for all values of Y,
\n" ); document.write( "so the graph cannot be synnetrical with respect to the x-axis.
\n" ); document.write( " $\"Y%28x%29=-6x%5E3%2B7x\"$ so $\"-Y%28x%29=6x%5E3-7x\"$ .
\n" ); document.write( " $\"Y%28-x%29=-6%28-x%29%5E3%2B7%28-x%29=-6%28-x%5E3%29-7x=6x%5E3-7x\"$ .
\n" ); document.write( "Since $\"Y%28-x%29=-Y%28x%29\"$ ,
\n" ); document.write( "the function is symmetrical with respect to the origin. \n" ); document.write( "

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