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Sunday, October 27, 2013

SV#4 Unit I Concept 2- Graphing Logarithmic Functions


You need to pay attention to the change of base in order to get the right equation to plug into your calculator. You also need to ensure that you know how to identify the terms in order to get the right vertical asymptote. Remember that for this problem the range is all real numbers and the the domain is from the vertical asymptote or the h-value to positive infinity.

Thursday, October 24, 2013

SP#3: Unit I Concept 1: Graphing Exponential Functions


The viewer needs to pay attention that the problem has no x-intercept because you can not take the natural log of a negative number. The asymptote of 1 and the a value of 3(being positive) makes it unable to have x-intercepts as well. You also need to pay attention to the k value becoming the asymptote and the limit for the range of the problem.

Wednesday, October 16, 2013

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



Throughout the problem, you need to pay attention to the factors chosen to get the same variable answers as I did. Also, you need to make sure that the answer is written in the power law form where the exponents go in the right place. Be sure to subtract (divide) and add (multiply) accurately.

Tuesday, October 8, 2013

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


This video is about solving a rational function by finding the slant asymptote, the vertical asymptotes, and the holes. Also, you have to find the domain, the x-intercepts, and the y-intercepts. The problem also involves writing the answers in proper notation and as points to be plotted on the graph.

The viewer has to pay special attention to the division part of the problem by adding the missing terms into the equation. Also, the viewer has to pay attention to the corrected hole y-values that I got by plugging in the hole value to the simplified equation. It would help to pay attention to the values that you are meant to use whether it is the numerator or the denominator.

Monday, September 30, 2013

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



This problem is about finding the zeroes of a polynomial equation. You find the p's and the q's in order to find the possible zeroes values. You also use the Descartes Rules of Signs to find how many positive and negative real zeroes there are. Then you use synthetic division to factor the polynomial into a quadratic which you would plug in to the quadratic equation and find the zeroes.

One of the things to pay close attention to is the signs used in order to solve the problem, In other words, you need to make sure to distribute the negative accurately. You need to make sure to write the imaginary zeroes involving the "x" in the problem.

Monday, September 16, 2013

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

This problem is about  graphing a polynomial. In order to graph the polynomial, you must first factor out the equation. Once, you have the factors you must find the zeroes which are also called the x-intercepts. Then using the leading coefficient it tells you if it is positive or negative and the exponent tells you if it is odd or even which signify the end behaviors of the graph. The y-intercept is found by plugging in zero in all the "x" places.

You need to pay careful attention to the x-intercepts with the multiplicities in order to graph the equation correctly. If the multiplicity is one, then the graph goes through the x-axis. However if the multiplicity is two, then the graph bounces off the x-axis.