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 set of values is a function?

Back

A set of values is a function if no x-value is repeated with different y-values.

Front

What does a mapping diagram show?

Back

A mapping diagram visually represents how each input is paired with an output.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph is not a function.

Front

What is an example of a function?

Back

(2, 3), (4, 5), (6, 7) is a function because each x-value is unique.

Front

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

Back

(1, 2), (1, 3) is not a function because the x-value 1 has two different y-values.

Front

What does it mean for an input to have multiple outputs?

Back

If an input has multiple outputs, it violates the definition of 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 definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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