Identifying functions

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

How can you identify a function from a set of ordered pairs?

Back

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

Front

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

Back

A mapping diagram represents a function if each input value is connected to only one output value.

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 does not represent a function.

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs {(1,2), (2,3), (3,4)}.

Front

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

Back

An example of a relation that is not a function is the set of ordered pairs {(1,2), (1,3)}.

Front

What does it mean for x-values to repeat in a relation?

Back

If x-values repeat in a relation with different y-values, it indicates that the relation 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 definition of a one-to-one function?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function has unique outputs for each input, while a non-function has at least one input with multiple outputs.