## Answers

F(x) = inf when 6x+3 = 0 or when x=-1/2

That is one of the asymptotes which separate the graph.

as for increasing and decreasing,

well, from -inf going to -1/2

as x increases y decreases

and

from -1/2 to inf

as x increases y decreases also.

If you draw it it has the shape of y = (1/x).

Now for concavity we need to get f''(0) and see if it's +ve or -ve.

It turns out to be +56/3 which means that that is a local max which means that it is decreasing either side - concave down. (-1/2 to inf). By contrast the other half of the graph must then be concave up (-inf to -1/2).

I hope that helps.

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