Quote:
Originally Posted by OnMyWayToBeAMathProffesor a-answer) i got  for a maximum because the  goes from negative y values to 0 back to negative y values. is this correct? |
no. let

. suppose

exists.

is a
maximum point (
minimum point) if
1.

or

does not exist
2.

and

(

and

).
Quote:
Originally Posted by OnMyWayToBeAMathProffesor b-answer) point of inflections occurs when  ... correct? |
no..
POI occurs at

if

exists
and
it doesn't really mean that if

(or dne), then it is already a
POI.
Quote:
Originally Posted by OnMyWayToBeAMathProffesor c-answer) i could never figure out how to do that on MHF but i have seen other people do it. All my graphs don't seem to work, but from the chart i think there are 2 separate functions?
any help, especially with c would be greatly appreciated. Thanks. |
depending on the graph that you will make, either it will consists of one part or two part since there is no condition on

.. however, if it exists, then the graph must be of one part only; otherwise, the graph is of 2 parts..