What I Have Learned
Direction: Write in the second column your answers to the following questions based
on your understanding of what you have learned in this lesson.
Questions
1. What is a relation?
2. What is a function?
3. What do you mean by domain
of a relation?
4. What do you mean by range of
a relation?
5. How are relations
represented?
6. How can vertical line test be
used to determine whether a
relation is a function or not?
Direction: Write in the second column your answers to the following questions based
on your understanding of what you have learned in this lesson.
Questions
1. What is a relation?
2. What is a function?
3. What do you mean by domain
of a relation?
4. What do you mean by range of
a relation?
5. How are relations
represented?
6. How can vertical line test be
used to determine whether a
relation is a function or not?
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Answers & Comments
1. A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
2. A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set X is called the domain of the function and the set Y is called the codomain of the function.
3. The domain of a function or relation is the set of all possible independent values the relation can take.
4. The range of a relation is the set of the second coordinates from the ordered pairs.
5. Relations can be displayed as a table, a mapping or a graph. In a table the x-values and y-values are listed in separate columns.
6. If the vertical line touches the graph at more than one point, then the graph is not a function.