Identifying functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (input).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a mapping diagram to represent a function?

Back

A mapping diagram represents a function if each input is connected to exactly one output.

Front

What is an example of a set of ordered pairs that is a function?

Back

{(1, 2), (2, 3), (3, 4)} is a function because each input has a unique output.

Front

What is an example of a set of ordered pairs that is NOT a function?

Back

{(1, 2), (1, 3)} is not a function because the input '1' has two different outputs.

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) for that function.

Front

What is the definition of a range in a function?

Back

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is a constant function?

Back

A constant function is a function that always returns the same value regardless of the input.