1.9.12 functions/relations
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This document provides information about functions and relations in mathematics. It contains the following: 1) A definition of a relation as a set of related information with two types of data that can be graphed on a coordinate plane. 2) An explanation that functions are "well-behaved" relations where each x-value relates to only one y-value. 3) An example of a relation that is a function because each number in the x column corresponds to only one number in the y column.
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2) The obligatory attribute approach identifies attributes that should be present for certain classes or entities, called obligatory attributes, and measures completeness based on how many entities have those attributes.
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Schema learning
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2) The obligatory attribute approach identifies attributes that should be present for certain classes or entities, called obligatory attributes, and measures completeness based on how many entities have those attributes.
3) The Recoin method measures an entity's completeness by comparing it to similar entities and calculating how many common attributes it is missing. It assigns the entity an informativeness level between L1 and L5.
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1.9.12 functions/relations
- 1. Bell Work Write the answers in your composition book, labeling the top of the page with the Jan. 9, 2012 date. 1. How many solutions are there for ? 2. Fill in the green boxes in the following table:
- 3. A relation is a set of related information Example: A list of names of people in our class and their heights Name Height
- 4. A relation could also look like this:
- 5. A relation could also look like this: Because the relation has two types of information, we can graph it on a coordinate plane.
- 6. If all relations that exist were represented by this pentagon... RELATIONS
- 7. If all relations that exist were represented by this pentagon... RELATIONS FUNCTIONS ...then this circle represents all the possible functions. Every function is a relation.
- 8. Functions are "well-behaved" relations. To be a function, a relation has to follow one rule: Each x-value must relate to 1 and only 1 y-value. FUNCTION NOT A FUNCTION x y x y 1 2 1 2 2 3 2 3 3 3 2 4 4 5 4 5
- 9. Quick Poll: Is this relation a function?
- 10. Quick Poll: Is this relation a function?
- 11. In dating relationships, what is one thing that someone could do that would lead most people to break up immediately?
- 12. Picture a world where in dating relationships, guys can only date one girl, but girls can date as many guys as they want. A Function is like this. ·Guys are x-values ·Girls are y-values ·Domain: all x-values, or guys, in a relation ·Range: all y-values, or girls, in a relation As a class, we are going to create a set of functional relationships according to this rule. Functional Relationships