I have to locate and find the extrema for x^3-6x^2+9x but I can figure about the domain and range. Is d: all real numbers and r: all real numbers as well?

Question

psymon · Answer

Yep.

psymon · Answer

Do you know why, though/ Or just a guess?

jynae · Answer

Because it's a continuous graph I'm guess a little

jynae · Answer

I've been having a hard time with finding out how to graph and find everything

psymon · Answer

Well, for domain, the only time youre going to usually exclude things from the domain is division of 0, negatives under square roots (even roots really) and 0 and negatives in logarithms. So simply because you have none of those things occuring, its going to be all real for domain. You can think of the range as being all real because of end behavior. An odd degree function is going to always have a range of all real numbers just because of its end behavior. Of course I say all not counting those funky situtations, special cases etc.

jynae · Answer

K. Thanks. Would the critical points be from the 1st or. 2nd devertivive

psymon · Answer

critical points are first derivative. 2nd derivative gives you inflection points.

jynae · Answer

Ok thank you

psymon · Answer

mhm. So all you really needed were the critical points? Think you got thatdown?

jynae · Answer

Yes thank you I was confused at first with everything I was finding but I got it know

psymon · Answer

okay, awesome :3