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Wednesday, October 16, 2013

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.

Sunday, October 13, 2013

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.