Flashcard review 5.1-5.2 Functions and Linearity

Front

What is a function?

Back

A relation where every input (x-value) has exactly one output (y-value).

Front

What is the Vertical Line Test (VLT)?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are the x-values in a function called?

Back

Domain.

Front

What are the y-values in a function called?

Back

Range.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same output (y-value) for different inputs (x-values).

Front

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

Back

It means that at least one input (x-value) is paired with more than one output (y-value).

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x-value, there is one corresponding y-value.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs (2 and 3).

Front

What is the definition of 'range' in a function?

Back

The set of all possible output (y) values of a function.

Front

What is the definition of 'domain' in a function?

Back

The set of all possible input (x) values of a function.