Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-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

How can you determine if a graph represents 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 does it mean if an x-value has more than one y-value?

Back

If an x-value has more than one y-value, the relation is not a function.

Front

Identify the function: {(1,2), (2,3), (3,4), (1,5)}

Back

Not a function, because the x-value 1 has two different y-values (2 and 5).

Front

Identify the function: {(2,3), (3,4), (4,5), (5,6)}

Back

This is a function, as each x-value has a unique y-value.

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 (x, y) that represent a point on a graph.

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has one output.