document.write( "Question 1155524: Consider f(x)=1/5x^5 +x^4 -4x^3 +3
\n" ); document.write( "A) Draw a graph of f, estimate all critical points, local extrema, and absolute extrema.
\n" ); document.write( "B) Compute the actual values of all critical points, local extrema, and absolute extrema. \n" ); document.write( "
Algebra.Com's Answer #778189 by Boreal(15235)\"\" \"About 
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As x increases without bound + it goes to +oo
\n" ); document.write( "as x increases negatively without bound, it goes to - oo, because it has an odd exponent in the first term.\r
\n" ); document.write( "\n" ); document.write( "First derivative is x^4+4x^3-12x^2
\n" ); document.write( "set that equal to 0 and factor out a x^2 to get x^2(x^2+4x-12)=0
\n" ); document.write( "=x^2(x+6)(x-2)=0, Critical points are (-6, 0, 2)\r
\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-25%2C5%2C-100%2C1000%2C%281%2F5%29x%5E5%2Bx%5E4-4x%5E3%2B3%29\"
\n" ); document.write( "\"graph%28300%2C300%2C-3%2C4%2C-20%2C20%2C%281%2F5%29x%5E5%2Bx%5E4-4x%5E3%2B3%29\"\r
\n" ); document.write( "\n" ); document.write( "Those are the x-values; substitute into the original function to get the y-values.
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