document.write( "Question 1139374: Find the average rate of change of f(x) =2x^3 from -4 to 0
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Algebra.Com's Answer #759831 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Average rate of change is just the slope between the 2 points.\r
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\n" ); document.write( "\n" ); document.write( " so, average rate of change on \"x=-4\" to \"x=0\" is:\r
\n" ); document.write( "\n" ); document.write( "\"%28f%280%29-f%28-4%29%29%2F%280-%28-4%29%29++\"\r
\n" ); document.write( "\n" ); document.write( "=\"%28f%280%29-f%28-4%29%29%2F%280%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"%28f%280%29-f%28-4%29%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "now find \"f%28x%29+=2x%5E3+\"when \"x=0\"\r
\n" ); document.write( "\n" ); document.write( "\"f%280%29=2%2A0%5E3=0\"\r
\n" ); document.write( "\n" ); document.write( "find \"f%28x%29+=2x%5E3\" when \"x=-4\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28-4%29=2%2A%28-4%29%5E3=2%28-64%29=-128\"\r
\n" ); document.write( "\n" ); document.write( "plug it in \"%28f%280%29-f%28-4%29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "=\"%280-%28-128%29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "=\"128%2F4\"\r
\n" ); document.write( "\n" ); document.write( "=\"32\"=> rate of change of \"f%28x%29+=2x%5E3\" from \"-4\" to\"+0\"\r
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