document.write( "Question 1127529: Find the average rate of change of f(x)=-x^3+3x^2 from x=-1 to x=4 \n" ); document.write( "

Algebra.Com's Answer #743932 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"f%28x%29=-x%5E3%2B3x%5E2+\"$ from $\"x=-1\"$ to $\"x=4+\"$ \r
\n" ); document.write( "\n" ); document.write( "average rate of change is simply the slope of the line through ( $\"-1\"$ , $\"f%28-1%29\"$ ) and ( $\"4\"$ , $\"f%284%29\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=-%28-1%29%5E3%2B3%28-1%29%5E2\"$
\n" ); document.write( " $\"f%28-1%29=1%2B3\"$
\n" ); document.write( " $\"f%28-1%29=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%284%29=-%284%29%5E3%2B3%284%29%5E2\"$
\n" ); document.write( " $\"f%284%29=-64%2B48\"$
\n" ); document.write( " $\"f%284%29=-16\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the points are ( $\"-1\"$ , $\"4\"$ ) and ( $\"4\"$ , $\"-16\"$ )\r
\n" ); document.write( "\n" ); document.write( "average rate of change is: \r
\n" ); document.write( "\n" ); document.write( " $\"%28-16-4%29%2F%284-%28-1%29%29=-20%2F5=-4\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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