Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph.

Question

Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph.
 a)f(x)=|x2 +x-2|

Steve · Answer

the graph can be seen here:

http://www.wolframalpha.com/input/?i=plot+y%3D|x^2+%2Bx-2|+for+-4+%3C%3D+x+%3C%3D+3

That should make it easy to answer the other questions. If not, come on back and show where you get stuck.

Damon · Answer

I think we went through this before. note I think the somewhat unusual exponent notation may mean | x^2 + x^-2| = | x^2 + 1/x^2 | http://www.wolframalpha.com/input/?i=plot+y%3D|+x^2+%2B+1%2Fx^2+|