Thread: Analysis of graph

y = x + square root (absolute value (x))

what are the first and second derivatives?

and the extrema, concavity, any asymptotes, continuity?

I dont even know where to begin

Originally Posted by djdf92

y = x + square root (absolute value (x))

what are the first and second derivatives?

and the extrema, concavity, any asymptotes, continuity?

I dont even know where to begin

The absolute value causes us some problems. To overcome this you should probably analyse the problem for the three seperate cases of x>0, x<0 and x=0.

Case 1; For x>0




Case 2; For x<0





Using these equations you should be able to answer some of the questions above.