Sunday, February 6, 2011

Functions with arrow diagrams

After doing homework and reviewing for our test this past week I have found a few easy ways of remembering what functions are or are not.

A function  is two sets and a rule that assigns each element of the first set to exactly one element in the second set.

Domain is is the input and the Range is the output.

Function (picture below):
When it is not a function, is when the domain has two outputs. (Picture below is not a function)
Since 5 people have red shits and 5 people have white shirts, it is not a function because the Domain of 5 has to out puts.
Another example of a non function is a father to his children
A father can have 2 or more children, so the father being the domain, would make it a non function. However if the father was in the range and the fathers children what in the domain, it could be a function since each child would only have one output.

Awesome Function Game: Cyberchase-What Is My Function

2 comments:

  1. Re-learning functions and non functions are a bit of a challenge for me. Maybe going over the process and a few more examples will give me more understanding of the two. Getting the process now will help me later in the up-coming chapters.
    Shayna W-

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  2. When i did math in high school, functions were easy to remember. Now that i have been out of math for a while, i feel i have forgotten them a bit. The arrow diagrams are jogging back my memory and making the concept easier. I enjoy going over the basics in this class.

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