I am reading through calc1 and reviewing Limits and Continuity/Discontinuity, I have so many questions! There is a theorem here, it says if F and G are continuous at A and C is a constant, then the following are continues at a: F+G, F-G, CF, FG, F/G (G!=0) however the explanation I read for this makes no sense to me! (F+G)(A) Another question I have, for continuous functions, say I am given a piecewise function: cx^2+2x if x<2 x^3 - cx if x>= 2 I am suppose to find what makes this function continuous everywhere. I went back to read my book to find an example of this to break it down to the most simplest steps but could not find anything T.T (Squeezes teacher, I must solve). How do I start to even begin this problem? I was looking at a graph, it was just a random function with squiggly lines. Several breaks in the function was no problem, I noticed that as my eye went from left to right, in one spot the line broke, a dot appeared over it, and then the line started in the same direction from a different starting point. Since the little dot randomly appeared over the break, does that mean that the point at which the line broke was moved? or is it a whole different function? O_O ahh brain burnz, I like cheese.