Function or not

Front

What is a function?

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 set of ordered pairs?

Back

A set of ordered pairs is a collection of pairs of elements, typically written as (x, y), where 'x' is the input and 'y' is the output.

Front

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

Back

A set of ordered pairs is a function if no two different pairs have the same first element (input).

Front

What does it mean if a set of ordered pairs is 'not a function'?

Back

It means that at least one input is associated with more than one output.

Front

Example of a function: {(1, 2), (2, 3), (3, 4)}. Is this a function?

Back

Yes, this is a function because each input has a unique output.

Front

Example of not a function: {(1, 2), (1, 3), (2, 4)}. Is this a function?

Back

No, this is not a function because the input '1' is associated with two different outputs (2 and 3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it 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 a domain in a function?

Back

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

Front

What is a range in a function?

Back

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