Identify 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 pairs have the same first element (input) with different second elements (outputs).

Front

What is an example of a function using ordered pairs?

Back

An example of a function is the set of ordered pairs: (6,-5), (7,-3), (8,-1), (9,1).

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you represent a function using a table?

Back

A function can be represented in a table by listing inputs in one column and their corresponding outputs in another, ensuring each input has 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 output.

Front

What is the vertical line test?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of ordered pairs: (1,5), (1,6), (1,7), (1,8), (1,9) because the input '1' has multiple outputs.