Is the relation a Function

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

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

Front

How can you determine if a relation is a function using ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

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

Back

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

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

Given the relation {(1,5),(1,7),(3,9),(4,11)}, is it a function?

Back

No, because the input '1' has two different outputs (5 and 7).

Front

Identify the domain of the relation: (0, 2), (1, 3), (2, 4).

Back

The domain is {0, 1, 2}.

Front

Identify the range of the relation: (0, 2), (1, 3), (2, 4).

Back

The range is {2, 3, 4}.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.