Ouch! They were supposed to have covered all of thisbeforeassigning homework on it, and some of this was supposed to have been covered back in algebra!

To learn how to find x- and y-intercepts, tryhere. Note that, to find the x-intercepts, you'll be needing to solve polynomials, so learn how tosolve quadraticsfirst, and then move on to the various techniques needed forsolving polynomials.

"Critical points" are found using "derivatives", and the sign of the derivative (or else the use of the second derivative) helps you find the intervals of increase and decrease, which is related to the concept ofslope.

To get to the point where you can answer this sort of exercise usually takes about a month in a differential calculus course, but you can try self-study through other texts or online, such asPaul's Online Math NotesorKarl's Calculus Tutor.

Good luck!