Calc-Exam Review?

Question

F(x) = x-1/X+2
F'(x)=3/(x+2)^2
F''(x) = 6/(x+2)^3

I need to find the following, I have some answer, and I need to make sure they are right

Domain of f: All real numbers execpt for -2

Find X and Y intercepts: do you set each equation to zero?

I know how to find all asymoptots

Critical Points

I know how to find if F is increasing or decreasing

Concave up is second derivative test... correct?

Any Inflection Points?

Sketch the graph (which is easy with the following information)

I've been studying extremely hard for this exam, and really would appreciate any help!

Thanks in advance!

Answer 1

X and Y intercepts you just need to set F(x)=0=x-1/x+2 to find the x intercept and F(0)=-1/2 is the y intercept.

Concave up is in fact if the second derivative being positive

inflection points are found by stetting the second derivative equal to 0.

good luck on your exam, seems you know your stuff, just forgot your basic algebra.

Answer 2

I don't know if YOU sketched this function, but I think alot of your questions would be answered if you did.