# calculus

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|

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1. 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.

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posted by Steve
2. 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+|

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posted by Damon

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