Function or Not a Function

Front

What is a function in mathematical terms?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element with different second elements.

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 a mapping to be a function?

Back

A mapping is a function if each input is associated with exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What is the significance of the ordered pairs in a function?

Back

Ordered pairs in a function represent the relationship between inputs and outputs, where the first element is the input and the second element is the output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must map to only one output.

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.