Function Evaluation

In the reality we live in, all information can be broken down continuously into 2 simple, binary questions: Yes and No. For example, let's say you have a flower. Is the flower a rose? With answer "Yes," the situation can be broken down into "Is the rose red?" With answer "No" to the original question, a series of questions can then be asked, all with potential "yes"'s and "no"'s, and so on and so forth. My question is, can you produce a function to represent this relationship?

f(n) = 2^n, n<infinity f(n) = n^(2+n) f(n) = n^n, n<infinity Insufficient information No

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1 solution

Brody Burkett
May 31, 2018

A good way to visualize this is through a tree, with the base of the tree being the original object or "question". Looking at it this way, each line segment (branch) of the tree is also an object. Each object has 2 "answers" attached to it, making each branch both an "object" and an "answer". Visualizing it this way, you can produce f(n) = 2 to the power of "n" current branches, imagining that each new level of branches is the new "n". The variable "n" must also approach infinity, since we are analyzing the entire universe.

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