# Studying the graph of this function

I need to study the graph of this function, especially the asintotes (limits) and derivatives.

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• Thank you! So basically x=-8 is the only asymptote ( and y=0 for the first function)? Can I also ask you how to calculate the second derivative? I can't find the concavity of the function because the second derivative is too difficult

• x=-8 (vertical)and y=0 (horizontal) are the asymptotes. Note that lim f(x)=0 as x goes to + infinity.

• Yes, the second derivative would be challenging. You can ask that question in a separate post.