DOMAIN AND RANGE OF RELATIONS AND GRAPHS. Vertical Line Test Def: A relation is a function if there are no vertical lines that intersect the graph at.

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Presentation transcript:

DOMAIN AND RANGE OF RELATIONS AND GRAPHS

Vertical Line Test Def: A relation is a function if there are no vertical lines that intersect the graph at more than one point.

Ex 1. Is the above graph a function?

Ex 2. Is the above graph a function?

Ex 3. Is the above graph a function?

I. Domain and Range of Relations A. Definitions Def: The domain of a relation is the set of all first coordinates in the relation. Def: The range of a relation is the set of all second coordinates in the relation.

B.Examples Give the domain and range for each relation. Write in set notation.

II. Domain and Range of Graphs

Interval Notation Group Activity

B.Definitions Def: The domain of a graph is all the x-values the graph touches. Def: The range of a graph is all the y-values the graph touches.

C.Examples Find the domain and range from the graph. Write in interval notation. Ex 1.

C.Examples Find the domain and range from the graph. Write in interval notation. Ex 2.

C.Examples Find the domain and range from the graph. Write in interval notation. Ex 3.

III. Table of Values Ex 1. The domain is all positive integers less than 6, the range is 2 times x, where x is a member of the domain. Write each relation as a table of values. Graph the relation.

III. Table of Values Ex 2. The domain is all integers greater than -3 and less than or equal to 5, the range is 5 more than x, where x is a member of the domain. Write each relation as a table of values. Graph the relation.