Ok so I get how to find the critical points but I don't understand how you tell if it's mmaximum, minimum, or point of inflection. Say I have one point (-2,-16), what would it be?

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- Nov 29th 2011, 01:51 PMneedprecalchelpcritical points - maximum, minimum, or point of inflection?
Ok so I get how to find the critical points but I don't understand how you tell if it's mmaximum, minimum, or point of inflection. Say I have one point (-2,-16), what would it be?

- Nov 29th 2011, 02:07 PMskeeterRe: critical points - maximum, minimum, or point of inflection?
You'll have to excuse me, but my mind-reading ability is slipping terribly. Would it be too much to ask you to provide a bit more information about the function that generates the value f(-2) = -16 ?

One more small item ... you understand that determining what you want answered will most probably require analysis using the second derivative,**a calculus topic**? - Nov 29th 2011, 02:10 PMneedprecalchelpRe: critical points - maximum, minimum, or point of inflection?
no this is from precalc class. The original question is f(x) = x^2 + 4x -12 and I'm supposed to find the critical points for the function and determine whether each point is a maximum, minimum, or point of inflection. I found the critical point to be (-2,-16).

- Nov 29th 2011, 02:21 PMskeeterRe: critical points - maximum, minimum, or point of inflection?
- Nov 29th 2011, 02:26 PMneedprecalchelpRe: critical points - maximum, minimum, or point of inflection?
That it's minimum. But how can I find out without graphing?

- Nov 29th 2011, 02:31 PMskeeterRe: critical points - maximum, minimum, or point of inflection?