Identifying Functions Practice

Front

What is a function?

Back

A function is a relation where each input (x) has exactly one output (y).

Front

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

Back

A mapping represents a function if every input is paired with one and only one output.

Front

What is an example of a non-function?

Back

The set of ordered pairs {(2, 3), (2, 4)} is not a function because the input 2 maps to two different outputs.

Front

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

Back

Check if any input value is repeated with different output values.

Front

What is the vertical line test?

Back

A graph represents a function if no vertical line intersects the graph at more than one point.

Front

What does it mean if an input maps to more than one output?

Back

It means the relation is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

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 a domain in a function?

Back

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

Front

What is a range in a function?

Back

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