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

This problem is about finding logs, given approximations. To clarify, you will be given variables that are equal to logs, that add or subtract to your solution. You will expand your clue using the properties of logs. The quotient law, product law, and power law are present in this type of equation. You will also be substituting your values (letters) given.

The viewer needs to pay attention to that sometimes, the clues given does not match up to the log you are finding. To fix this, the viewer needs to multiply the numerator and denominator continuously until both the bottom and top have factors of the given clues. The viewer also has to make sure not to confuse the quotient law with the product law. The quotient law is when you divide, your logs can subtract. The product law is that when you multiply logs, that means you can add them too.

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

     This student video is about finding slant, horizontal, and vertical asymptotes. You will also be finding holes and the domain. After finding these, you can graph the function. A hole is a place where the graph cannot  touch. We will also be finding limit notation and using our calculator to help us.
     When doing this problem, you must take note that when we find our holes, we need to make sure it gets plugged into the simplified equation. We also have to pay attention to when we plug in the equation to the calculator, we must use parantheses. Another crucial thing that the view needs to pay attention to is the view must not confuse how to find x intercept and y intercept. for X intercept, you set y to 0. For Y intercept, you set X to 0.

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

 This problem is about finding real and complex zeroes when there is a polynomial to the fourth degree. We first use Descartes Rule to find the possible number or real positive or negative zeroes. We also use the rational root theorem, p/q, to find the possible zeroes. We also use synthetic division. This video will explain how to use all these aspects to find the zeros of the fourth degree polynomial.

The viewer needs to pay special attention to Descartes Rule, when you are looking for the amount of possible negative zeroes. You have to remember that when it is an odd degree, the sign switches. The viewer also has to make sure to multiply/add/subtract correctly while doing synthetic division. The viewer has to remember that the p/q is positive AND negative. Another crucial thing that the viewer must acknowledge is distributing negatives. You must remember there could be irrational and imaginary zeroes.

SP # 2: Unit E Concept 7: Graphing polynomials, including x-intercept, y-intercept, zeroes, (with multiplicities), end behavior.

This problem is about graphing polynomials by defining how they behave at extremas, how they behave in the middle, where their highest and lowest points are, where their intercepts are, and defining their intervals. In addition, we are dealing with multiplicity of zeroes and how it defines our graph (remember 1 is through, 2 is bounce, 3 is curve?) We will be finding the x-intercept, y-intercept, determining the end behavior, finding extrema, and noting if the graph has intervals of increase or decrease with a set equation. To make a graph efficient, we must find all these aspects.

The viewer needs to pay special attention to the end behavior and how to find it. The degree and the coefficient determines the end behavior. There is even (degree) positive (coefficient), even positive, odd negative, odd positive. The viewer needs to know which direction the end behaviors go by this. Another thing that the view has to be careful on is when they factor the equation, because it is easy to make simple mistakes. Also, the viewer has to make sure they plot their graph right and where it goes through, bounce, or curve, and apply it to the graph.

WPP #4 Unit E Concept 3: Finding max/min values of quadratic applications (MAXIMIZING AREA)

Create your own Playlist on MentorMob!

WPP #3 Unit E Concept 2: Finding Maximum and Minimum Values of Quadratic Applications (PATH OF FOOTBALL)

Create your own Playlist on MentorMob!

SP# 1: Unit E Concept 1: Identifying x-intercepts, y-intercepts, vertex (max,min), axis of quadratics, and graphing them

This problem is about demonstrating the process of establishing a parent function equation with a standard form to begin with. The vertex, x-intercepts, y-intercepts, and axis is to be found. To make a graph the most efficient and accurate, these steps are necessary. 

The viewer needs to recognize to (x-h) in the parent function equation. The parent function equation is y=a(x-h)^2+k. To graph the x-point of the vertex, you need to know that h is opposite of what it appears to be. For example (5-2)^2. That (-2) would be 2 when you graph it. Another thing you must acknowledge is that the x-intercepts may include imaginary numbers, and when that happens you cannot graph it since it is imaginary for the x-intercepts.