Functions Review

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 does it mean for a graph to be a function?

Back

A graph represents a function if every vertical line intersects the graph at most once.

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, written as (x, y).

Front

What is the domain of 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 the range of a function?

Back

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

Front

Can a function have repeated y-values?

Back

Yes, a function can have repeated y-values as long as each x-value is unique.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).