A.F.1a: Relation is function or Not function

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Front

What is the domain of a relation?

Back

The domain is the set of all possible input values (x-values) for the relation.

Front

What is the range of a relation?

Back

The range is the set of all possible output values (y-values) for the relation.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

Identify the relation that is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Front

What is the range of the relation: (9, -2), (4, 3), (8, 10), (-4, 8)?

Back

The range is {-2, 3, 8, 10}.

Front

What is the domain when the range is 3?

Back

The domain is -2.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if any vertical line intersects the graph more than once.