document.write( "Question 701627: I need to know a handful of points to plot this function on a graph (just enough to sort of show the shape of the line). I really need help here, I have no idea what to do.
\n" ); document.write( "http://s1272.beta.photobucket.com/user/sledd144618/media/Algebra634_zpsf6d7f871.png.html \n" ); document.write( "

Algebra.Com's Answer #432509 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
you are given:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=2\"$ if $\"-infinity%3Cx%3C=-2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%281%2F2%29x%2B3\"$ if $\"-2%3Cx%3C=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-%287%2F8%29x%2B35%2F8\"$ if $\"1%3Cx%3Cinfinity\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=2\"$ this is a line parallel to $\"x-axis\"$ and has $\"y-intercept\"$ at ( $\"0\"$ , $\"2\"$ )\r
\n" ); document.write( "\n" ); document.write( "since you are given that $\"-infinity%3Cx%3C=-2\"$ you can find one more point choosing $\"x\"$ less than $\"-2\"$ and draw that line all way from certain value of - $\"x\"$ to $\"x=-2\"$ than stop; that will be at point ( $\"-2\"$ , $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "take second line and choose two values for $\"x\"$ so that $\"-2%3Cx%3C=1\"$ \r
\n" ); document.write( "\n" ); document.write( "since this line is connected to the first line, use the point ( $\"-2\"$ , $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "and find one more point using $\"x=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%281%2F2%29%2A1%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%281%2F2%29%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=3.5\"$ \r
\n" ); document.write( "\n" ); document.write( "the second point is ( $\"1\"$ , $\"3.5\"$ )\r
\n" ); document.write( "\n" ); document.write( "plot these points and connect them with a line segment\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "third part is $\"f%28x%29=-%287%2F8%29x%2B35%2F8\"$ or $\"f%28x%29=-0.875x%2B4.375\"$ if $\"1%3Cx%3Cinfinity\"$ \r
\n" ); document.write( "\n" ); document.write( "here you start with a point ( $\"1\"$ , $\"3.5\"$ ) last one you got and find one more point using any $\"x%3E1\"$ \r
\n" ); document.write( "\n" ); document.write( "let $\"x=10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-0.875%2A30%2B4.375\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-26.25%2B4.375\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-21.875\"$ \r
\n" ); document.write( "\n" ); document.write( "the point is ( $\"30\"$ , $\"-21.875\"$ )\r
\n" ); document.write( "\n" ); document.write( "plot this point and draw a line from a point ( $\"1\"$ , $\"3.5\"$ ) and passes through ( $\"30\"$ , $\"-21.875\"$ )\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C600%2C+-15%2C+15%2C+-15%2C+15%2C+2%2C+%281%2F2%29x%2B3%2C-0.875x%2B4.375%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from this graph where you see all three lines you need to take parts: from a line $\"f%28x%29=2\"$ (red) draw part all way from the left to the point ( $\"-2\"$ , $\"2\"$ ), \r
\n" ); document.write( "\n" ); document.write( "then got to second line $\"f%28x%29=%281%2F2%29x%2B3\"$ (green) and draw a line segment which connects points ( $\"-2\"$ , $\"2\"$ ) and ( $\"1\"$ , $\"3.5\"$ ),\r
\n" ); document.write( "\n" ); document.write( "then go to third line $\"f%28x%29=-%287%2F8%29x%2B35%2F8\"$ (blue) and draw from the point ( $\"1\"$ , $\"3.5\"$ ) all way down to the right\r
\n" ); document.write( "\n" ); document.write( "that will be your solution, the piecewise function \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );