hello dwsmith,

is this a general question on how to find the turning points?

if it is, i would first find the derivate of the function, then plug in zero in there...those values would be the x-coordinate i will need to keep, then i take those x-coordinates and plug 'em into the first function...that'll be your y-coordinate. Then how many of those point you tend to have depending on the question, you state them as your horizontal tangents.

i hope thats what you were asking for

-sugarT