document.write( "Question 865156: find the average rate of change for the funchtion f(x)=3x^2 on the interval [-3,3] \n" ); document.write( "
Algebra.Com's Answer #521549 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
f(x) = 3x^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(-3) = 3(-3)^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(-3) = 3(9)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(-3) = 27\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(x) = 3x^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(3) = 3(3)^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(3) = 3(9)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(3) = 27\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Average Rate of Change = (f(b) - f(a))/(b-a)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Average Rate of Change = (f(3) - f(-3))/(3-(-3))\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Average Rate of Change = (27-27)/(3-(-3))\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Average Rate of Change = (27-27)/(3+3)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Average Rate of Change = 0/6\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Average Rate of Change = 0\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the final answer is 0
\n" ); document.write( "
\n" );