WPP #6: Unit I Concept 3-5 - Compound Interest, Continuously Compounding Interest, and Investment Application

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SV #4: Unit I Concept 2 - Logarthmic equations

It is important to be careful that your h, when negative will look positive in your equation. Say your h is -3... it will look like (x+3). Be sure to remember that your equation originally looks like this (x-h). Another thing to be extremely careful is that when plugging in your equation, you cannot just plug it in how it looks. You must use your knowledge from UNIT H of Change of Base formula. Plug in ln(x-h)/ln b +k. Also, keep in mind, when you graph the equation (in your calculator), the graph will seem as if it does not continue on forever (in concerns for range). However, your function does indeed go on forever, the calculator just does not show it. Make sure when you draw your own, draw arrows indicating that it continues on.

SP #3: Unit I Concept: 1 Graphing Exponential Functions

It is important to remember that by knowing whether "a" is positive or negative, we know if the graph is above or below the graph (positive, above; negative, below). Remember that if your asymptote is a positive, but your graph is above it, there will be no x-intercept. Also, if your asymptote is negative, but your graph is below it, there will also be no x-intercept. Another way to remember that there is no x-intercept is if you, at any point of solving, have to log a negative--it is impossible. Helpful sayings also make your life easier like this one: the YaK died. This means that our asymptote will be Y=K (remember our skeleton: y=a*b^(x-h)+k)and our domain is unrestricted resulting in (-inf, inf).

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

It is important to remember that when you have a root of any kind, that root turns into an exponent as well. From that exponent, you can create a coefficient in front of your log, furthering the expansion. Also, it is good to remember that you have two hints of your own (which are not given) from our basic knowledge of logs. If you have log(base b)b, the answer, or it equates to 1. If you have log(base b)1, your answer would be 0 because anything to the 0 power is 1. It is always good to refer back to your knowledge of the exponential formula. Also, despite not being shown in this particular video, it is good to remember that at times, when our log's quantity is a fraction, we may have to multiply the numerator and denominator by a common number, because the given log may not have any factors that correspond with our hints.

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

The student video is about finding asymptotes (slant, horizontal, vertical) and holes when given a ration function. After finding this information, you should be able to graph the function. Using basic knowledge from previous concepts like long division, interval notation, setting denominators equal to zero, and factoring, you will be able to graph the function. You should take note that, because there is a hole in this function, we will be plugging in many values into our SIMPLIFIED EQUATION, meaning the equation you are left with after crossing out common factors found both in the numerator and denominator. When finding the y-value of your hole, you plug your x-value into your simplified equation. This is the same when we plug in numbers when finding x-intercepts and y-intercepts. Another thing you should pay close attention to is that when you write the notation for your vertical asymptotes, this will help you get an idea how your graph will look, thus making it easier for you to draw it when the time comes.