Is it 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

How can you determine if a graph represents 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

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 any vertical line crosses the graph more than once.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the input and 'y' is the output.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must map to only one output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

No, because the input '1' is associated with two different outputs (2 and 4).

Front

Is the relation {(5,6), (7,8), (5,9)} a function?

Back

No, because the input '5' is associated with two different outputs (6 and 9).

Front

What is the definition of a domain in a function?

Back

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