document.write( "Question 905910: Find the intervals on which the function is increasing, and on which the function is decreasing.\r
\n" ); document.write( "\n" ); document.write( "Here is the graph and other parts of the question I am not positive about:
\n" ); document.write( "http://i.imgur.com/mruKsFU.png\r
\n" ); document.write( "\n" ); document.write( "My answers:\r
\n" ); document.write( "\n" ); document.write( "For decreasing: [-3,0] U [2,∞)
\n" ); document.write( "For increasing: (-∞,∞)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I am confused on all this. \n" ); document.write( "
Algebra.Com's Answer #549577 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "You are a bit confused, so let's see if we can straighten you out.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "It is unfortunate that the people who made mathematics gave open \r\n" );
document.write( "intervals and points the same kind of notation.  A point has an\r\n" );
document.write( "x-value and a y-value, but an interval has two x-values.\r\n" );
document.write( "\r\n" );
document.write( "So be EXTREMELY careful to notice the difference between the point\r\n" );
document.write( "(a,b) and the interval (a,b), in the following:\r\n" );
document.write( "\r\n" );
document.write( "From negative infinity to the point (-3,-2) the graph is falling, so it\r\n" );
document.write( "is decreasing from x = negative infinity to x = -3.\r\n" );
document.write( "\r\n" );
document.write( "So the graph is DECREASING on the interval (-oo,-3).  \r\n" );
document.write( "\r\n" );
document.write( "From the point (-3,-2) to the point (0,4) the graph is rising, so it\r\n" );
document.write( "is increasing from x=-3 to x=0\r\n" );
document.write( "\r\n" );
document.write( "So the graph is INCREASING on the interval (-2,0).\r\n" );
document.write( "\r\n" );
document.write( "From the point (0,4) to the point (2,1) the graph is falling again,\r\n" );
document.write( "so it is decreasing again from x=0 to x=2.\r\n" );
document.write( "\r\n" );
document.write( "So the graph is DECREASING on the interval (0,2).\r\n" );
document.write( "\r\n" );
document.write( "From the point (2,1) to positive infinity the graph is rising,\r\n" );
document.write( "so it is increasing from x=2 to x=oo\r\n" );
document.write( "\r\n" );
document.write( "So the graph is INCREASING on the interval (2,oo)\r\n" );
document.write( "\r\n" );
document.write( "-----\r\n" );
document.write( "Answer: increasing on the intervals (-3,0) and (2,oo).\r\n" );
document.write( "        decreasing on the intervals (-oo,-3) and (0,2).\r\n" );
document.write( "\r\n" );
document.write( "Edwin
 \n" );
document.write( "
\n" );