Question 155602
In order to graph this piece wise function, simply graph the individual equations that make up the piecewise function. So for instance, simply graph the equation {{{y=4}}} when "x" is greater than -10 AND is less than or equal to -8. So this is simply a horizontal line at {{{y=4}}} from -10 to -8 like this




<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/ben%20bongo/step1.jpg"alt="Photobucket - Video and Image Hosting">



Note: there is an <b>open</b> circle at the left endpoint since the first sign is a "less than" sign, and there is a <b>closed</b> circle at the right endpoint since the second sign is a "less than or equal" and there is 



Now graph the horizontal line {{{y=6}}} from {{{x=-8}}} to {{{x=-6}}}


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/ben%20bongo/step2.jpg" alt="Photobucket - Video and Image Hosting">


Now graph the horizontal line {{{y=8}}} from {{{x=-6}}} to {{{x=-4}}}


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/ben%20bongo/step3.jpg" alt="Photobucket - Video and Image Hosting">


Now graph the horizontal line {{{y=9}}} from {{{x=-4}}} to {{{x=-2}}}


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/ben%20bongo/step4.jpg" alt="Photobucket - Video and Image Hosting">


Now graph the horizontal line {{{y=10}}} from {{{x=-2}}} to {{{x=0}}}


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/ben%20bongo/step5.jpg" alt="Photobucket - Video and Image Hosting">





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Answer:




So the graph of the step function is 



<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/ben%20bongo/step5.jpg" alt="Photobucket - Video and Image Hosting">



Note: remember, the open circles are excluding the point and the closed circles are including the point