Relation and function
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A function is a special type of relation where each input is mapped to exactly one output. For a relation to be a function, each x-value in the domain can only correspond to one y-value in the range. A relation specifies the connections between two variables but does not require each input to map to a single output, whereas a function uniquely associates each input with a unique output. It is important to distinguish the independent variable, which determines the possible inputs or domain, from the dependent variable, whose outputs or range depend on the values of the independent variable.
Relation and function
- 2. Essential Questions: What is a function? What are the characteristics of a function? How do you determine if a relation is a function? How is a function different from a relation? Why is it important to know which variable is the independent variable?
- 3. A relation between two variables x and y is a set of ordered pairs An ordered pair consists of an x and y-coordinate A relation may be viewed as ordered pairs, mapping design, table, equation, or written in sentences x-values are input, independent variable, domain. y-values are output, dependent variable, range
- 4. •What is the domain? {0, 1, 2, 3, 4, 5} What is the range? {-5, -4, -3, -2, -1, 0}
- 6. Is a relation a function?