SP#7: Unit Q Concept 2: Finding All Trig Function Values Using Identities

This SP8 was made in collaboration with Melissa A. This SP8 was made in collaboration with here. 

SP #6: Unit K Concept 10 - Writing repeating number as rational number using geometric series

 

 Make sure to pay special attention to see if the number continues on forever. The process of infinite series must be used. All your work must be shown, meaning a calculator cannot be used to get you the answer, you can ONLY use it to check your work like shown on picture #2. If it has a number at the beginning of the problem next to the decimal, you must remember to add it to the sum.If you end with the number you started then you did it correct.

SP#6 Unit J Concept 6

In this SP, I show you how to do Partial Fraction Decomposition with distinct factors. You have to keep in mind while solving that you you have to separate each fraction into separate fractions by putting letter like A,B,C on top. Then find the least common denominator for the fractions and multiply the missing part. Then group all the terms together and set them equal to the coefficients of the numerator and solve for the equations and put back A,B,C where they belong. The addition with this problem is that since the factors repeat you have to count up to the powers.

SP#4 Unit J Concept 5

 

In this SP, I show you how to do Partial Fraction Decomposition with distinct factors. You have to keep in mind while solving that you you have to separate each fraction into separate fractions by putting letter like A,B,C on top. Then find the least common denominator for the fractions and multiply the missing part. Then group all the terms together and set them equal to the coefficients of the numerator and solve for the equations and put back A,B,C where they belong.

SP#3 Unit I Concept 1-Graph & Apps of Exp & Log Functions

In this video you should play attention to whether or not the graph will be below or above the asymptote. Once you figure that out, should be below by the way, you have to plot your key points and remember that the 3rd number should be what h equals and after that find the asymptote it should be y= k. In this case it should be y =2. Then solve for 0 when finding the x-intercept and to find the y-intercept you should plug in 0. Along the way you should be graphing the points you start to find out and then find the domain and in this case it would be negative infinity to positive infinity. In order to find the range you have to read the graph from left to right.

SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

 In the problem above, you have to preform six things and they are: writing the equation, write the factored equation, right the limit notation, figure out the x-intercepts, and lastly, figure out the y-intercepts. 

In order to graph it you have to know the multiplicity of zeros. If it has the multiplicity of 1 then that means that the line went straight through the graph. If it has a multiplicity of 2 then the line will bounce off the graph and of it has a 3 then the line will curve. While solving the problem make sure to pay attention to how many zeros you should actually have.

 

SP#1: Unit E Concept 1 - Graphing a quadratic and identifying all key parts

SP#1 Unit: E Concept:1: Parts of a Graph

The problem that you see in the image is a problem about identifying x-intercepts, y-intercepts, vertex (max/min), axis of quadratics and graphing them. Some back ground information would be on "Parts of the Graph of a Quadratic,"for example the vertex is (h,k), the x intercept is y=0, y-intercepts would be x=0, and the axis of symmetry would be the vertical line x=h. The equations given will start off in standard form which is  f(x)=ax^2+bx+c but we must complete the square to put it into parent function for which is f(x)=a(x-h)^2+k

In order to solve this problem you have to pay attention to the 7 that can be factored out of the equation and the fact that you have t subtract a 56 from both sides. Once that is done you have to make sure that you get the value of b and take half and then square it so it should be a 9 since half of 6 is 3 and 3squared is 9. Just keep an eye out on your calculations.