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Combining Functions

Author:Greg Petrics
There's five ways to combine functions to make more complex functions. These combinations of the atomic functions are all that Geogebra used when you asked it to make models of the height of the incoming missile and the length of the day.
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
  5. Composition
You can do all 5 in Geogebra easily, but for now just try out one of each of the first four by copy/pasting the following snippets of code into the input bar (it's on the left since the Algebra Perspective is open) to create new functions: f_1(x)+f_2(x) f_1(x)-f_2(x) f_1(x)*s_1(x) s_1(x)/e(x)
It's tempting to get bogged down here in algebra, but we're going to keep moving forward. We'll discuss method 5, composition, in the next activity.

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