Sketch the graph of the piecewise defined function by hand

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Sketch the graph of the piecewise defined function by hand

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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hint: |dw:1439747762727:dw|

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here, you have to choose the right pieces from both graphs
oh like if its less than or greater
|dw:1439748014126:dw|
hint: |dw:1439748052974:dw|
what is the domain of that second function?
?
please wait a moment
for example I consider the subsequent function: f(x)= sqrt(4-x) Now the radical exists, if and only if the subsequent condition holds: \[4 - x \geqslant 0 \Rightarrow x \leqslant 4\] am I right?
yes
so that part of function is defined inside this interval of the real line: \[0 \leqslant x \leqslant 4\]
since, from your definition sqrt(4-x) is given for all x such that they are greater or equal to zero
now, please do the same with the other part of your function, namely f(x)=sqrt(4+x)
hint: from your definition we have x<0, furthermore, the radical exists if and only if \[4 + x \geqslant 0\] so, what do you get?
please note that in order to draw the graph of your function, we need to know its domain

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