Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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 an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

What does it mean if a function has repeated x-values?

Back

If a function has repeated x-values, it is not a function because each input must correspond to exactly one output.

Front

What does it mean if a function has repeated y-values?

Back

A function can have repeated y-values as long as each x-value is unique.

Front

How can you determine if a table represents a function?

Back

A table represents a function if no x-value is repeated.