Stanton D. answered • 04/28/14
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Whoa Lucy,
The purpose of Wyzant answers isn't to do your problem set for you, it's to get explanations of things or ways of solving problems that maybe your teacher didn't give you (and expected you to find out on your own), *and which weren't in your book or worksheet notes!* (have you been reading your book?).
So, it looks like you're swamped with functions, definitions, and ideas that you're a bit clueless on?
This isn't the time or place to write you a primer on functions.
If you have a graphing calculator, you can throw those equations above in to it, and then look carefully at the graphed results. Even *without* magnifying around the stated limit points, you should be able to see what the limits are, or if they blow up to infinity as x approaches infinity, etc.
Concavity (curvature, that is, the shape of anything that isn't a straight line) is either *positive* (if you turned the function a little clockwise or counterclockwise until it was as level as you could get it, and then poured water on it, would it hold the water on top) or *negative* (turn it, etc.: the water would run off the function on either side).
Other resources you could use: 1) your computer's graphing ability -- learn to use some programs! 2) Google the definition of things you don't get yet, find something at a good level for you, and read it over, make sketches, etc. until it makes sense. 3) Graph paper -- actually plot some points, and connect them in a curve.
-- S.
