Thursday, October 11, 2012

Student Video 3: Unit H Concept 7



In this video Brian V. and I constructed a problem on Unit H Concept 7. We briefly describe and show how to solve for logs given the approximation.

Monday, October 1, 2012

Unit G Question 1

1) How do we know that a graph has a horizontal asymptote? What are the three options?

- This means that the Asymptote is equal to zero this is because “x” has to be zero because it is supposed to be a horizontal line. “Y” is all real numbers. Also if the degree is bigger on the top then the asymptote will equal zero. If the degree is the same then the asymptote is the ratio of  the coefficients. And if the degree is bigger on top then there is no horizontal asymptote. The limit notation for horizontal asymptotes corresponds with the restrictions that we did on Unit E Concept 4 This shows the behavior in which the graph is corresponding to the equation.



Unit G Question 2


2) Describe what limit notation for a horizontal asymptote actually means.

- The limit notation for a horizontal asymptote means that the behavior of the graph varies depending on its degree. This shows how the graph moves depending on the right side or the left. The graph tells how close or   far away the asymptote is from the graph itself. You can find the limit notation easily after you have compared the graph's numerator and denominator. If it is bigger on bottom then the asymptote is zero. If it is the same degree then you must use the ratio of the coefficients. If the asymptote is bigger on the top then there is no asymptote.


Unit G Question 3

3) When does a graph has a slant asymptote? How do you find the equation of a slant asymptote?

- A graph has a slant asymptote when only the degree on top is bigger than the degree on the bottom. We can find a slant asymptote by using long division. Everything but your remainder will become the equation of the slant asymptote line. The equation of a slant asymptote is the same as slope intercept form with Y=mx+b.