I have no idea how to do this problem and I have many like this problem to do.

sketch the graph of f(x) = x + (128) / (x^2+16). Identify all intercepts, relative extrema, points of inflection, and asymptote.

Thanks !

Question

I have no idea how to do this problem and I have many like this problem to do.

sketch the graph of f(x) = x + (128) / (x^2+16). Identify all intercepts, relative extrema, points of inflection, and asymptote.

Thanks !

amoodarya · Answer

attachment

amoodarya · Answer

x Intercept  is -4

amoodarya · Answer

diagonal asymptote is y=x
look at the image

anonymous · Answer

Can you help me with the relative extrema?

amoodarya · Answer

can you compute f'(x)  ?

amoodarya · Answer

attachment

anonymous · Answer

do you know how I would go about doing it? My teacher said I will have very similar problems on the test tomorrow

amoodarya · Answer

whats your grade ?
this  problem is for calculus!

anonymous · Answer

12th grade, I need to figure out how to get the relative extrema. The book isn't being too helpful atm.