Logs and Inverses

The things on what in understood about logs and inverses were:
1. How to get rid of logs in order to find the variable. Like 7log7^X well the 7 cancels the log7 leaving the x by itself.
2. Also to find the log of a number like log2 32 that is equal to 5. That log is also equal to 2^5=32.
3.Also to extend the log. Like log5(h+d) equals to log5 h + log5 d.
4. Finding the inverse of the log is what is pretty easy most of the times. To find the inverse is just to switch the inputs and outputs.

The things i don't understand:
Mostly i will understand the algebra of the logs and inverses but they are hard when it comes to graphing them. Usually i graphing mess me up when i have to graph the parent function with a new function coming out of the parent function. Then I'm not really sure how to get the new function from the parent function. he the asymptotes to confuse me as well at times.

Even and odd functions

For the even functions in a graph, they are symmetrical. The y-axis cuts the graph function in half. The outputs of the function will stay the same for being symmetrical, but the inputs of the function would actually become the opposite. For example if the input is 2 then the opposite input will be -2. That way the function would look the same in both quadrants either if it is quadrant 1 and 2 or quadrant 3 and 4 .
Odd functions are a little different are symetrical also symetrical in a way. In way it has to be folded twice. The 1st time in half and then flip down and maybe that way you can tell that it is a fuction. Or you can just check the inputs and outputs. Because unlike even functions both the inputs and outputs are the opposite of the numbers fron the original function. Like points (2,3) in quadrant 1 will be the opposite of (-2,-3) in quadrant 3.

Algebra VS Calculus

1. The difference of finding the limits when is when x is approach the output it helps find the input as it approaches c. But when the constant is plug in which is the algebra thta helps find thethe function or the slpoe. There are tiames when they are the same like when x approches 0.
lim f(x) x-> c = limf(x) x->c= = limf(x) x->c-
2. The derivative means that it does have a slope. Finding the slope of the line is looking a the change in y n inthe change in x. Both do mean is to find the slope. But there are different ways to find the slpoe. For the derivative is lim x-> f(a+h)-f(a-h)/2h. And finding the slope is Y2-Y1/X2-X1

Limits: My Breaking Point!!!

Limits are now still a little confusing.
1. Like I still cant get the idea of limits that are continoious. I taught I knew which limits are still continuous but then the numbers came to play like the amplitude and the ranges are still messing me up. Then also the "hole" in the lines also messes me up. So how can I can I know how it is continuous or not?
2. Another thing is onndetermining the limit and to find out if there is one or not. Like the one in the test lim x->2+ then there are three points lined up in 2 so that throws me off a little.
3. Then the limits with the end behavior and then graphing them confuse me. When there is a fraction and then find the end behavior model for it and then graph it. For me it's all confusing because I don't know how to graph it.
So please help!