SOLUTION: I have a question regarding one particular section in my assignment. Here is my assignment: By Sunday, December 14, 2008, visit the following websites by copying and pasting

Question 173228: I have a question regarding one particular section in my assignment.
Here is my assignment:
By Sunday, December 14, 2008, visit the following websites by copying and pasting the addresses into your browser:
http://www.purplemath.com/modules/graphexp.htm
http://www.purplemath.com/modules/expofcns.htm
http://www.purplemath.com/modules/logs.htm
http://www.purplemath.com/modules/graphlog.htm
http://www.purplemath.com/modules/logrules.htm
Spend some time on these sites and go through the information on graphing exponential and logarithmic functions. Summarize your findings in your own words; be sure to include the URL of each web site from which you drew information. In your response include the following points:
* General form of the function: exponential and logarithmic
* One example each of exponential and logarithmic function
* Characteristics of the graphical representation of each function (Minimum four characteristics)
Post your response in this Discussion Area.
In addition to the websites mentioned above, you can search the web for more information using the following keywords 'Exponential Function' and 'Logarithmic Function'.

Question: The only part I am confused on is the part about characteristics. What are characteristics in this particular situation? Could you give me an example?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
For both logarithmic and exponential functions, you might want to discuss the curve asymptotes and where the curves intersect one or the other of the axes. What happens as x increases in a positive direction? What happens as x decreases (in a negative direction for the exponential function, and as x gets close to zero for the logarithmic function)

You should also make mention of the fact that there is something very interesting about where exponential functions cross the y-axis and where logarithmic functions cross the x-axis. I'll let you discover exactly what this interesting thing is for yourself.

Are these functions always increasing as x increases? Always decreasing? Or are there local maxima or minima?

Another interesting thing you might do is to sketch a graph of , (picking some convenient value for , but making sure it is the same value for both functions), and the line , all on the same piece of graph paper. Then fold the paper along the line and hold the paper up to the light.

In addition to the purplemath site your instructor suggested, Wikipedia has excellent articles about exponential and logarithmic functions. You might also try Cliff's Notes and Wolfram's Math World.

Good luck.
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