Sunday, October 27, 2013

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

In order to understand the problem, the viewer must be attentive to several elements. Firstly, it is important to identify your h and k accurately, otherwise many parts of your problem (if not the whole problem) will be incorrect. Also, one must be meticulous in their work for the intercepts. Lastly and obviously, one must make sure to plug in the equation to their calculator, correctly using the change of base.

Thursday, October 24, 2013

SP #3: Unit I Concept 1: Graphing exponential functions and identifying x- intercept, y- intercept, asymptotes, domain, range (4 points on graph minimum)

Hey this is Michael C. from Period 5. In this picture we will be graphing an exponential equation and identifying key parts. The equation we will be using is y = 5(1/2)^(x - 1) + 1. First you will identify the a, the b, the h, and the k. The next logical thing to do is find the equation for the asymptote which should be y = k. Then You find the x- intercept by setting y to zero (it should be undefined for this problem since the asymptote is y = 1 and the graph must be above it so the graph will never come into contact with the x- axis.) and the y- intercept by setting x to zero. Domain for these problems will always be all real numbers since the graph goes infinitely to the left and right. Range will depend on the asymptote and wheter the graph is above or below it, and it's above in this problem. Next you want to use some key points and the h should be your 3rd point. Plug the equation into the calculator and use the table to get the points and plot the points. You know that the graph should be heading toward the asymptote on the right side since the absolute value of b is less than 1. And that is all.
When solving this problem one must pay attention to a few things. Firstly you must be precise in identifying a- k. Second, you must make note that the x- intercept is undefined because of the asymptote. Also, you must remember that there are no restrictions for the domain and the range depends on the asymptote.

Thursday, October 17, 2013

SV #3 Unit H Concept 7: Finding logs using approximations (treasure hunt)

In order to fully understand the problem the viewer must pay special attention to a few things. One, the viewer needs to pay attention to the clues. Two, the viewer needs to be sure that they have broken apart the problem correctly to get the right clues to use. Then, the viewer must expand the log correctly, so when it's time to substitute the variables in, the problem will be correct.

Monday, October 7, 2013

SV 2: Unit G Concepts 1-7: Finding asymptotes and holes and graphing rational functions.

1). This problem is about finding asymptotes and holes of graphs of rational functions. We will be using the function x(x +2)(x - 1)/ (x + 2) (x +1). This video will go over how to find the slant asymptote, the vertical asymptote, and the holes of this function. We will also be finding the domain, the x- intercepts, the y - intercept, and the actual graph of the function. What does the fox say?

2). One must pay attention to several things while doing this problem. Firstly, one must be sure to factor the function correctly and be careful when doing long division for the slant asymptote. Additionally, it is important to remember to put parentheses in the correct places when plugging the function into a graphing calculator. If the parentheses are left out, the graph will be wrong in the calculator.