why would i get a crit # but no max or min

It would be a saddle point. The slope of the graph is 0 at that point, but it is not a local max or min. For example, x^3 has a saddle point at (0,0).

]]>Also, if the function had no values for x less than zero, it looks like there would be a relative maximum at zero.]]>

Ok, I had a function and the directions were:

Locate and classify all extrema as absolute or relative...

I can't remember the equation, but when i found the critical numbers of the function.. i got a critical number at the origin.. but when i graphed it on the calculator.. i got the graph above.. what is (0,0).. Is it anything? I don't think it's a max or min at all.. why would i get a crit # but no max or min.. just at an odd place like that... where the graph begins... To me, the answer would only be.. an absolute minimum at around (2, -2) or whatever it is (i didn't label the axes.. but you understand what i mean)

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