Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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 curve is a graph of a function. If a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

A mapping is a function if every input (domain) is associated with exactly one output (range).

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 have only one output.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph, where 'x' is the input and 'y' is the output.

Front

Do the ordered pairs (1, 2), (2, 3), (3, 4) represent a function?

Back

Yes, these ordered pairs represent a function because each input (1, 2, 3) is associated with exactly one output (2, 3, 4).

Front

Do the ordered pairs (1, 2), (1, 3), (2, 4) represent a function?

Back

No, these ordered pairs do not represent a function because the input '1' is associated with two different outputs (2 and 3).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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