WPP #6 Unit 1:Concepts 3-5 Compound Interest.

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SV#3 Unit H Concept 7 Finding logs given approximations

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SV#3 Unit H Concept 7

Finding logs given approximations

1) In this video we are given a certain set of clues to approximate logs. It is like going on a treasure hunt.However aside from the clues we are given we must add 2 more. they are log base "B" of b equals one because "B" to the first power is "B", and then Log base "B" of 1 equals 0 because "B"  to the 0 power is one. Then we must break apart the numbers UNTIL the number is part of our cues. It is like using a factor tree but in this sense we stop when our number is a clue. Then we expand each log and finally substitute the log for the clue we were given.

2)When attempting this problem we must not forget to add the clues using the properties of logs. Also when breaking it apart make sure once you hit the clue number you stop. Also remember if it is division being used its subtraction and addition is multiplication. When expanding logs remember that each variable must have its own log.

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

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  Sv #2: Unit G Concepts 1-7 : Finding all parts and graphing a rational function.
1) In this problem we must find all parts and graph a rational function. A rational function has numbers other than zero. With this problem we are given slant asymptotes to find. We can see that there is one because the degree of the first number is ONE bigger on top then the bottom degree. To find it we must use long division. Next we then find the vertical asymptotes by factoring and IF  something cancels it s our hole, the par of the graph that isn't able to be gone through, hence the name the hole. Then we have to find the x and y intercepts as well the the domain of the function which is D.I.V.A.H. we then find other point by hitting trace on our graphing calculators.
2) One thing to remember is when conducting long division we don't use the remainder as part of our answer.Also when finding the x intercepts we set the numerator to because Y=0, but be careful that whatever had been canceled you don't include. When finding the y-intercept, X=0.When finding the limit notation you plug the equation into the calculator and don't forget the parenthesis and then you see whats occurring as you approach that number from the right and left.

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

Please watch my video by clicking here 1) In this problem we are given a quadratic that is not factor able and we must find the factors and well as zeroes. To do this first we begin by using Descartes rule of signs. In this method we are able to figure out how many zeroes are real positive and real negative as well as an estimate if there are any imaginary zeroes. After that we then use the rational root theorem Then we just use synthetic division until we are reduced down to a quadratic.We just factor and find the rest of the zeroes

2) The thing we must not forget is that the odd degrees switch signs in Descartes rule of  sings . Also for the p's and q's it is tempting to also include the q's over p's but those will not work. Also remember that if you are not finding a zero hero in the beginning instead of plugging in all the number you may plug it into a calculator and find some zero heroes. Also until it is reduced down to a factor you still have to conduct synthetic division.

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

1) This problem is about graphing polynomials and including the x-intercepts,y-intercept, the zeroes(with their multiplicities) and the end behavior.To start the problem you must first factor the equation out. Then with the answers you get you will be able to sketch the graph.

2) When doing this type of problem you must first remember to factor it all out. Once you get the remaining value you must solve to zero and then you have your zeroes. You must remember that if it has  multiplicity of 1 then it goes through and if it has one of two then it bounces off.The y intercept is gotten by setting all the x's equal to zero(in this case your answer is zero). The end behavior in this case is even positive therefore the graph will face negative when going to the right and left.

WPP#4: Unit E Concept 3 - Maximizing Area

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WPP#3: Unit E Concept 2 - Path of Football (or other object)

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