Sunday, October 27, 2013

SV#4: Unit I Concept 2: Graphing logarithmic functions and identfying the x-intercept, y-intercept, asymptote, domain, and range

To view my video, please click on the link HERE.

In this video you should pay special attention to the order I solved the key parts of the logarithmic function. I skipped over the key points box in the beginning and did it last because it is easier to graph the points after we find all the other parts, such as the asymptote and x & y intercepts. Additionally, you should pay attention to how I solved for the x & y intercepts because they can be a little tricky. Good luck!

P.S. I'm sorry if my sniffling or coughing was distracting. I just got sick yesterday. :(

Thursday, October 24, 2013

SP#3: Unit H Concept 1: Graphing Exponential Functions and Identifying Key Parts

Green Text (in case you can't read it):

Equation
- Take the opposite sign for h

Key Points
- Plug the equation into the y= graph in your calculator
- Use table to find values
- Plot




x-intercept
- Plug 0 in for y
- You cannot take the log of a negative number



 y-intercept
- Plug 0 in for x

Domain
- Always for exponential equations
- No restrictions on domain

Range
- All the values from -inf to -2
You need to pay close attention to why there is no x-intercept. Furthermore, you need to make sure you solve the y intercept correctly. Finally, you should choose good x-values for your key points, so that your graph will look as accurate as possible.

Wednesday, October 16, 2013

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

To view my video, please click on the link HERE.

In order to fully understand this concept, you need to pay attention to certain key points. First, you must remember to list out the "given" clues.  The first one is log base b of b equals 1, and the second one is log base b of 1 equals 0. Furthermore, you need to pay special attention to how you are going to expand the log. Logs in the numerator are positive and logs in the denominator are negative. Finally, you need to make sure you substitute the variables in correctly and simplify completely.

Sunday, October 6, 2013

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

To view my video, please click on the link HERE.

This video goes over Unit G Concepts 1-7, which is finding all the key parts of a rational function. My function is f(x)=(x^3+2x^2-8x)/(x^2+5x+4), which is a slant asymptote. However, you also need to find the vertical asymptote, holes, domain, x-intercepts, and y-intercept.  More importantly, you need to graph all these parts.

In order to fully understand these concepts,  you need to make sure you follow all the steps carefully. There is a lot of work to do, so it is easy to slip up and make a mistake.  Furthermore, you need to carefully pick x values to trace on your calculator, so you can easily graph the function. Good luck!