Identifying Functions

Front

What is a function?

Back

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

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element with different second elements.

Front

Does the following set of ordered pairs represent a function: {(1, 2), (1, 3), (2, 4)}?

Back

No, because the first element '1' is paired with two different second elements '2' and '3'.

Front

Does the following set of ordered pairs represent a function: {(1, 2), (2, 3), (3, 4)}?

Back

Yes, because each first element is paired with exactly one second element.

Front

What is a mapping diagram?

Back

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

Front

Does the following mapping represent a function: {1 -> 2, 1 -> 3, 2 -> 4}?

Back

No, because the input '1' is mapped to two different outputs '2' and '3'.

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

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 the domain of a function?

Back

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

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.