Function or Not

Front

What is a function?

Back

A function is a relation where every input has exactly one output.

Front

What does it mean if a mapping is not a function?

Back

It means that at least one input has more than one output.

Front

How can you tell if a graph represents a function?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x, where each input x has one output.

Front

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

Back

An example is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the 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 a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.