Function or Not

Front

What is the definition of a function?

Back

A function is a relation where every input has exactly one 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

Is the mapping {(1,2), (2,3), (3,4), (1,5)} a function?

Back

No, it is not a function because the input '1' has two different outputs (2 and 5).

Front

What is an example of a function?

Back

An example of a function is the mapping {(1,2), (2,3), (3,4)} where each input has a unique output.

Front

What does it mean for a relation to be not 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 determine if a set of ordered pairs represents a function?

Back

Check if each input value is associated with only one output value.

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 which the function is defined.

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.

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 one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.