Finding Graphs of Functions in Nature
Go find functions in nature, and photograph them!
Studying Graphs of Functions?
Well, some graphs of functions appear a lot, so knowing their shapes gives you a much better shot at graphing them correctly and catching common errors.
What do you need?
 Either a graphing calculator, or a printout of the graphs of functions
 A park or nature trail with plenty of trees or backyard
 A camera
 A keen eye for natural (not human made) shapes
Here are a few examples:

f(x) = mx + b 
f(x) = 1/x 
f(x) = x^{2} 
f(x) = √x 

f(x) = x 
f(x) = e^{x} 
And here are some example photos we took to give you an idea:
Graph of f(x) = mx + b
The graph of f(x) = mx+b is a straight line, thus you are looking for something in nature that resembles a straight line. For example:
TAKE A PIC!
Graph of f(x) = x^{2} or x^{2}
The graph of f(x) = x^{2} looks like a U, and x^{2} is like a ∩, thus you are looking for something that resembles a U or ∩. For example:
TAKE A PIC!
Graph of Square Root: f(x) = √x
The graph of f(x) = √x looks something like the lower case letter r, for example:
TAKE A PIC!
Graph of Absolute Value: f(x) = x
The graph of f(x) = x looks some thing like the letter V, for example:
TAKE A PIC!
See what other graphs you can find...
When done, compare your pics of nature to the graphs of functions and put together a presentation.
Activity courtesy of Hands On Math