document.write( "Question 638495: in which poin this function is growing\r
\n" ); document.write( "\n" ); document.write( "f( x) = x^2(x – 4)^2\r
\n" ); document.write( "\n" ); document.write( "thanks
\n" ); document.write( "

Algebra.Com's Answer #402241 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29=x%5E2%28x-4%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E2%28x%5E2-8x%2B16%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E4-8x%5E3%2B16x%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-5%2C+10%2C+-5%2C+20%2Cx%5E4-8x%5E3%2B16x%5E2%29+\"\r
\n" ); document.write( "\n" ); document.write( "as you can see, this function has one min at (\"0\",\"0\") and another one\r
\n" ); document.write( "\n" ); document.write( "at (\"4\",\"0\")\r
\n" ); document.write( "\n" ); document.write( "max is at (\"2\",\"16\")\r
\n" ); document.write( "\n" ); document.write( "so, this function is growing from \"x=0\" to \"x=2\" and from \"x=4\" to \"x=infinity\"
\n" ); document.write( "
\n" );