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Welcome to Alexis T’s Math Analysis Blog

Welcome to Alexis T’s Math Analysis Blog
Join me on my fabulous trip through Math Anaylsis!

Tuesday, October 29, 2013

WPP#6: Unit I Concepts 3-5- Compound Interest and Investment


Create your own Playlist on MentorMob!

Viewers need to be aware on what formula you use for the type of problem you are solving. The number correlating to the daily, weekly, monthly, etc. need to be memorized (which should be easy)! In the first problem, be aware that if you don't adjust your window accordingly, the tracing part won't work! (Trust me, I spent 20 minutes trying to figure out why it kept giving me ERROR!) In the second part, remember to find the ln to cancel out the e and continue on after that. Also, when you're looking for the time, remember to convert the rest of the decimal into months. (ex. 9.16 should convert to 9 months and 2 months (round to the next highest number for the months part))

Sunday, October 27, 2013

SV#4: Unit I Concept 2: Graphing Logarithmic Functions and Identifying Properties


In this video, students will be learning how to graph logarithmic functions and identify properties. A sentence that will help you during parts of this problem is " the Log's Xylophone was Happy and Rich" which means a "logarithmic graph has a asymptote of x=h, leading to no restrictions on the range".Viewers need to be aware of the "h" value. (Remember that (x-h) so the value will be the opposite sign!) "H" is also our asymptote value so be sure you have the right answer! Another thing you will need to be aware of is accurately solve for the x-intercept and the y-intercept. When you find the x-intercept, you'll need to remember a concept that we learned in Unit H! (Hint: Exponentiate!) Then when you find your y-intercept, remember to set the base equal to each other and this will be another concept that we have already learned in Unit H as well! Also, remember that our graph goes on forever so don't forget to put arrows at the ends of the graph!

Wednesday, October 23, 2013

SP3: Unit I Concept 1: Exponential functions





*LEFT side of the asymptote

Viewers need to pay special attention to "a" to see whether the graph will be above or below the asymptote. Also, depending on the value of "b" it will say whether the graph is close to the left or right side of the asymptote.  They also have to be sure they don't get the value of H and K mixed up otherwise the asymptote will be wrong. Since this equation has no x-intercept, notice that the graph does not touch the x-axis at all. Also, remember that the graph will never touch the asymptote but it will be very close to it. 

Wednesday, October 16, 2013

SV #3: Unit H Concept 7 -Finding logs given approximation


** I apologize for all the times I stuttered and/or blanked out in the video :(

There are many things you should watch out for as you find the log in this problem! Be sure that when you are breaking down the numbers that they result with numbers in the clues. If not, you will have a completely different and wrong answer. Also, don't forget to appropriately use addition and subtractions signs whenever there's a multiplication or division sign being used! (Remember addition signs go with multiplication and subtraction signs go with division!)

Monday, October 7, 2013

SV#2: Unit G Concepts 1-7 - Finding all parts and graphing a rational function


This problem is about how to graph rational functions. This whole unit was an immediate jump into it so now it's all shown step by step in my lovely video for you! We start off from identifying the equation to finding vertical asymptotes, to holes (if there are any!), to domain, x-intercepts, y-intercepts, finding key points, and graphing the points! It sounds like a lot but when you work out all the steps, it shouldn't take you more than 10 minutes to do!

The very very very first thing you need to know is how to identify between a horizontal asymptote and a slant asymptote. (If you remembered the songs, this will be a piece of cake! Yum, I love cake!) The only new things you need to know is vertical asymptote and holes which can be a struggle but once you get the hang of it, it'll be a breeze! That's really all you need to know how to do because everything else is review such as finding domain, x-intercepts, y-intercepts, and plotting points on a graph! Also, don't forget to factor accurately! Since this is a slant asymptote, be sure when you perform long division that it is right!