Welcome to Tracey P.'s Math Analysis Blog

Saturday, October 26, 2013

SV#4: Unit I Concept 2 - Graphing Logarithmic Functions & Identifying All Parts

To view my video, please click here.

During the video, please pay attention to all the steps and remember to plug in the equation into the calculator. Also, remember to put the equation as a natural log because a calculator can't find a log base five.

Thursday, October 24, 2013

SP#3: Unit I Concept 1 - Graphing Exponential Functions & Identifying All Needed Parts

In this problem, you need to make sure to check if there's an x-intercept or not. You can tell by checking if there's a negative log, if there is, then there is no x-intercept. Also, make sure to write your domain and range correctly. On an exponential graph, domain is always negative infinity to infinity.

The first step you would have to do is label your variables (a=-3, b=2, h=1, k=-2). Next, you find your y-intercept, this is basically just y=k (y=-2). Then, you find your x-intercept, and from the picture below, you can see that there can never be a negative natural log. As a result, there is no x-intercepts. The next step is to find your y-intercept. From the step-by-step work that I've shown below, the y-intercept is (0, -7/2) or it can also be written as (0, -3.5). The domain would always be negative infinity to positive infinity since it's an exponential graph. Lastly, the range would be negative infinity to negative two. It's negative infinity because the graph is below the asymptote and the negative two came from the asymptote.

Wednesday, October 16, 2013

SV#3: Unit H Concept 7 - Finding Logs Given Approximations

To watch my video, please click on the link HERE.

This problem is about finding logs given there approximations. There are four given clues as well as a hidden clue. To solve the problem, you must use the properties of logs (Power property, quotient property, and product property). Also, you'll need to substitute those numbers with the corresponding letters  to get your final answer.

Make sure to pay close attention when factoring out the numbers because they might already be a clue. Remember to put the appropriate sign for each log, such as the plusses and minuses. The numerator will always be adding, whereas the denominator will be subtracting.

Sunday, October 6, 2013

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

To view my video, please click on the link HERE.

This video will show you how to solve for rational functions. It will show you how to find the slant asymptote, vertical asymptote(s), hole(s), domain(with interval notation), x-intercept(s), and y-intercept(s). Above all that, it will assist you in graphing the rational function as well as finding the key points necessary for the graph.

While watching this video, please pay close attention to all the steps and go along with all the instructions. For instance, plotting the rational function into the calculator yourself and working through the problems too. Also, remember to double-check that all the answers and steps are correct. (People make mistakes!)