Identifying a Function

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

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

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 for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

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 a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

What does it mean if a relation is 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 tell if a table of values represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.