Question 1205632
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It appears you're trying to graph a piecewise function. The first part appears to be -3x-1 when {{{-6 <= x <= -4}}}


The second part seems to be missing. You wrote {{{-1/4 < x <= 8}}} but forgot about the expression for this domain restriction.


In short, what you posted is incomplete. Please revise carefully. I recommend writing the piecewise function as separate lines.


Example:
-3x-1 when {{{-6 <= x <= -4}}}
<font color=red>5x+7</font> when {{{-1/4 < x <= 8}}}
Replace the stuff in red with your actual expression. 



Despite the fact I cannot answer this question fully, I can help with the first part.
-3x-1 when {{{-6 <= x <= -4}}} means we'll graph y = -3x-1 for that interval mentioned. 
The graph of y = -3x-1 is a straight line through (0,-1) and (1,-4). 
Here's the scratch work proving that x = 1 leads to y = -4.
y = -3x-1 
y = -3*1-1
y = -3-1
y = -4
Similar steps are applied when x = 0.


After drawing a straight line through (0,-1) and (1,-4), erase the portions to the left of x = -6 and to the right of x = -4.
What results is a segment with endpoints (-6,17) and (-4,11)
*[illustration UploadedScreenshot_14.png]
I used Desmos to graph. GeoGebra is another good alternative. 
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