SV #5 : Unit J Concept 3-4 : Solving 3 Variable Equations

The viewer must pay close attention to writing out coefficients properly. Also, when solving for the zeroes they must make sure to multiply and add properly or else the answer will come out wrong. Additionally, make sure you plug the values into your calculator correctly or else you will get the wrong answers. It is also important to remember that you must use row 1 for row 2 and include row 2 for row 3.

Sv #4: Unit I Concept 2: Graphing Logarithmic Funcitons

In this video, it is important the view pays close attention when finding the asymptote. Because h is being subtracting, the asymptote will have the opposite sign. Additionally, when finding the x-intercept, we must remember how to exponentiate and get rid of the logarithm. When finding the y-intercept it is important to know how to plug in the logarithm if the base is not e or 10.

SV # 3: Unt H Concept 7: Finding Logs Given Approximations

      This video is about finding logs given approximations. This incorporates using the quotient, product, and power laws. Additionally, we will be looking at how to take our clues and multiply or divide them in order to make them equal to our solution. This problem involves knowing the properties of logs.
      It is crucial to recognize that because their is a denominator, the logs will be subtracting. The viewer needs to also pay special attention to expanding the clues using the properties of logs. If the log has an exponent, rather than solve it, you should use the power property. This means bringing the exponent to the front of the log. It is also important to recognize that you need to substitute in the values given after you have completely expanded your log.

SV #2: Unit G Concept 1-7: Graphing Rational Functions

     The problem is about graphing a rational function through analyzing pieces of the function. This video addresses vertical, horizontal, and slant asymptotes. It also finds the holes of the function as well as the x and y-intercepts. Using past concepts, such as domain, long division, and  interval notation, will help us in graphing this function. 
     The viewer should pay special attention to finding the x and y-intercepts because it is crucial to remember to use the simplified equation. Additionally, when find it he hole for these functions, plug in the found x-value into the simplified equation. When plotting the hole, represent it as an open circle representing that the graph does not go through this point. Lastly, through using the limit notation of the vertical asymptote, it gives you an idea of what the graph will look like.

SV #1: Unit F Concept 10:Finding real and complex zeroes for a 4th Degree Polynomial

        This problem is about finding all the zeroes, real and complex zeroes for a 4th degree polynomial. We will be using the rational roots theorem to find all possible zeroes. Additionally, we will be utilizing Descarte's rule of sign to find possible positive and negative real zeroes. This video will demonstrate how to find all zeroes including imaginary zeroes. 
       The viewer needs to pay special attention to distributing the negative in order to find the factors. Additionally, it is crucial that the viewer focuses on using the zero hero answer row as the new header row for the next step. Once you have a quadratic, you can try to factor the polynomial or use the quadratic formula. It is important to remember that there could be imaginary or irrational zeroes.