SP #3 Unit I Concept 1: Exponential Equations

This problem will highlight the various components of solving an exponential equation. The main parts of the problem are the horizontal asymptote, x-intercept, y-intercept, domain, range, key points, as well as the graph. We must label the a, b, h, and k of the equation and properly solve for the intercepts. There is no x-intercept for this problem, however, because the graph is above the asymptote, which is 1. Make sure to plug in the appropriate y-values for the x-values in the key point table.

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

This problem is about "treasure hunting" where you utilize the clues given in order to find the answer to the log that is given. The answer is typically in variable form due to the clues being substitutes for the logs. Why we solve this problem is to use our overall understanding of logs in order to do well on the test on Tuesday. Using the property of logs is what this problem does an exceptional job on due to its wide variations of logs.
What we need to be pretentious about regarding this problem is to use ONLY the clues given to you, plus the extra 1 clue that we should all know how to find. Also, it is a key point to remember to separate the problem where the addition and subtraction marks do not match in order to divide the numerator and denominator.

SV #2 Unit G Concept 1-7: GRAPHING RATIONAL FUNCTIONZ

This student video is primarily about finding the parts of rational functions in order to graph them. The horizontal asymptote/slant asymptote, vertical asymptote, domain, x-intercept, y-intercept, a table to list any additional points, and a graph are all essential pieces to this type of problem. In the case of slant asymptotes, we will have to recall our knowledge regarding long division.
There are many key points to pay attention to regarding this problem. Pay special attention to the factoring of the rational function, because that precise factoring will result in the answers of the vertical asymptote, domain, x-intercept(s), and y-intercept. This ultimately affects the graph. Also remember to plug in a 0 for a variable in long division. For example, the equation 5x^3+x would need a 0x^2 in the middle in order to properly use long division to factor out the rational function.