#### tarnok

##### Diabloii.Net Member

**Function of the Day: f(x)=e^x**

This is something I plan to do with my students. Each day I'll post a _____ of the day on a small chalkboard to the side of the main one. Today it's a function. Tomorrow maybe a fruit. Whatever. It'll be something interesting and informative though, and sometimes just a little bit silly to keep them on their toes. I'd like to test them out here and see if people have anything to add or any suggestions for other _________s of the day.

If the mods think that one of these a day counts as spam just let me know and I'll discontinue post-haste.

So.

f(x)=e^x

This function, known as the exponential function, grows extremely rapidly. No, faster than that. To give you a rough idea of how fast it grows f(0)=1 while f(10) is over 22,000. Additionally e^x gets very small as x becomes more negative. It never actually reaches zero but it gets continually closer as x becomes more negative.

Points of interest:

f(-1)=1/e

f(0)=1

f(1)=e