document.write( "Question 1174622: Given the graph of the function y=x^3-3x^2-6x+8, answer the following.
\n" ); document.write( "All answers must be rounded properly to one decimal place
\n" ); document.write( "The plotted points on the graph are (1,2) (0.652,0)(1.572,0) (3,2) (3.348,0) (2.428,0) (2,-1)
\n" ); document.write( "What are the increasing intervals ( , ) U ( , )
\n" ); document.write( "and what are the Decreasing intervals ( , ) U ( , )
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #800051 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
first graph it\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2Cx%5E3-3x%5E2-6x%2B8%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "If $\"y\"$ ’ $\"%28x%29%3E0\"$ then $\"y\"$ is increasing (local maximum)
\n" ); document.write( "If $\"y\"$ ’ $\"%28x%29%3C0\"$ then $\"y\"$ is decreasing ( local minimum)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y\"$ '= $\"3x%5E2-6x-6\"$ \r
\n" ); document.write( "\n" ); document.write( "find zeros:\r
\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-6x-6=0\"$ ..........simlify, both sides divide by $\"3\"$
\n" ); document.write( " $\"x%5E2-2x-2=0\"$ .....use quadratic formula\r
\n" ); document.write( "\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%28-%28-2%29%2B-sqrt%28%28-2%29%5E2-4%2A1%2A%28-2%29%29%29%2F%282%2A1%29\"$
\n" ); document.write( " $\"x=%282%2B-sqrt%284%2B8%29%29%2F2\"$
\n" ); document.write( " $\"x=%282%2B-sqrt%2812%29%29%2F2\"$
\n" ); document.write( " $\"x=%282%2B-sqrt%284%2A3%29%29%2F2\"$
\n" ); document.write( " $\"x=%282%2B-2sqrt%283%29%29%2F2\"$ .......simplify
\n" ); document.write( " $\"x=%28cross%282%29%2B-cross%282%29sqrt%283%29%29%2Fcross%282%29\"$
\n" ); document.write( " $\"x=%281%2B-sqrt%283%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x=1-+sqrt%283%29\"$ or $\"x=-0.7\"$
\n" ); document.write( " $\"x=1%2Bsqrt%283%29\"$ or $\"x=2.7\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the increasing intervals ( $\"-infinity\"$ , $\"-0.7+\"$ ) U ( $\"2.7\"$ , $\"infinity\"$ )
\n" ); document.write( "the Decreasing intervals ( $\"-0.7\"$ , $\"0\"$ ) U ( $\"0\"$ , $\"2.7\"$ ) or simply ( $\"-0.7\"$ , $\"2.7\"$ ) \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );