Happy Holidays

May your holidays

be full of joy

and your new year

bright with happiness!

TIP/HINTS

1.Share how you remember transformations. Do you have any tips or hints that help you to remember?
I had to answer this blog along time of go. The reason I did not answer it, was because I forgot how to do transformations. But know I found out how to do it. My friends form the Calculus class helped me remember how to do it. They told me that if I add or subtract a number to x, my graph would shift to the right or to the left.
For example
When you graph -ln(x+3) you have to move 3 units to the left. (At the begging of the class, I believed that I had to move 3 units to right because I was add 3 to x but I was wrong.)
The reason I remember that the graph should go either left or right is because my friends told me that I have to moves OPPOSITE way when you are add or subtract sign.

2. Share how you remember or understand trigonometry. Do you have any tips or hints that help you remember/memorize all those facts?
Ok I also did not know how to do trigonometry it took me time to memorize. But my friends help me memorize it. They told me that if I want to understand trigonometry I have to memorize the unit circle because it revolves around the unit circle. I am not going to lie to you but in took me 4 long days of study to remember the unit circle.
My tips/hints to memorize this stuff is to work in study groups. Make your study groups fun and make up games use the subject you are study about.

3. What still confuses you or worries you about trigonometry?
What still worries me is finding the zeros of the graph. My domain and range a little bit.

Algebra VS Calculus

1. What is the DIFFERENCE between finding the limit of a function at x=c and actually plugging in the number x=c? When are the two cases the SAME?
When you are try to find the limit at x=c you are also find the output and the value of f(x) when it gets closer to c. There could be holes at x=c, but for the limit to exist the hole has to be removable. This is calling a Removable Discontinuity.
The two cases are the same when the graph of the function is continuous.

2.What is the SIMILARITIES between finding the derivative and finding the slope of a line. What are the DIFFERENCES between the two?
The similarities between both of them is that you have to use the change y / the change x to find the slope.
The difference is that on the derivative you need to find the tangent line to find the secant line.

LIMITS!!!! ]='

LIMITS, some of the limits i do understand and i think i do good on it but some other limits just take me to the limit because I just don't understand it.

The limits I believe I do great on is when the lim x-c(x) =c, Limit of the identity function at x=c

The limits I do not get are the one-sided and two-sided limits from section 2.1 exercise problems 37 and 38.
The second problem I do not understand is number 26 from the chapter 2 review exercises.
The last problems I do not understand are number 27 and 28 from the chapter 2 review exercises. I didn’t understand because I don’t know how to find the vertical asymptotes of the graph of y=f(x)