WPP# 6: Unit I Concept 3-5: Compound Interest, continuously compounding interest, investment application problem

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SV #4: Unit I Concept 2 - Graphing logarithmic functions and identifying x-intercepts, y-intercepts, asymptote, domain, range (4 points on graph minimum)

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The viewer needs to pay special attention to a few things throughout this problem. The asymptote is something that the viewer needs to pay attention to. They need to make sure that they change the sign of the h value in order to match the formula. Also, they have to exponentiate correctly in order to find the x-intercept. While finding the y-intercept, you have to make sure that the change of base formula is set up correctly in order to receive the correct value. The domain is also important as it has to be set correctly in order to make the graph correct.

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SP #3: Unit I Concept 1 - Graphing exponential functions and identifying x-intercept, y-intercept, asymptotes, domain, range (four points on graph minimum)

In this type of problem, the viewer needs to pay special attention to the parts of the exponential equation (y = a x b^(x-h) + k). "A" will tell you if the graph is going to be above or below the asymptote and "k" will tell you where the asymptote is.  These are the two most important values of the equation. You have to make sure that your asymptote is horizontal for these types of equations. You find the Key Points by inputting the equation into the "y=__" screen then looking at the table. Also, solving for the x and y intercepts need to be accurate in order to make the graph more precise. Domain will always be (-inf., inf) as there is no x asymptote. The range depends on the asymptote. If your graph is neg., then the value goes to the y slot as it is below the asymptote. If it is a positive, then it goes into the x slot as it allows the line to be on top of the asymptote.

SV#3: Unit H Concept 7 - Finding Logs Given Approximations

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In order to fully understand these types of problems, the viewer needs to pay special attention to the properties. For example, if a clue has an exponent, then the solver needs to know that the power property transfers the exponent to the front of the log. The product and quotient laws are very important for the reader. These laws will tells the problem solver whether they will need to add or subtract the clue throughout the final answer. Also, the viewer needs to notice that logb of b=1. This will provide them with extra clues to find their treasure!

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

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This problem is about finding the horizontal, slant, and vertical asymptotes, holes, domain in interval notation, x and y intercepts of rational functions, and graphing functions with all parts. The first step to this equation is noticing that the numerator has a greater degree than the denominator. This means that we go on to find the slant asymptote by using long division. We stop once you receive a y=mx+b equation. Next you find vertical asymptotes. This requires factoring and cancelling out any common factors from the polynomial. You set the remaining factors equal to 0 and solve. This number is your vertical asymptote value which is then used in limit notation. Next, you use the cancelled factors and set them equal to zero to find any holes in the graph. The domain comes fro the vertical asymptote value and is then used in interval notation to decide the direction of the graph. You find the x-intercepts by setting the simplified numerator equal to zero and solving for the x's. The y-intercepts are found by replacing the x's of the polynomial with zeroes.Then you graph the polynomial!

Some things that the problem solver needs to pay attention to are that they respond properly to the degrees! For example, in this problem, there was no horizontal asymptote because the degree of the numerator was larger than that of the denominator. Also, they have to factor correctly so that they can properly find the vertical asymptotes, domain, and holes! Lastly, they have to make sure that their graph does not touch the asymptotes of the graph.