Identifying Functions

Front

What is a function?

Back

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

Front

How can you identify a function from a graph?

Back

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

Front

What are inputs in a function?

Back

Inputs are the x-values in a function, which are the values you put into the function.

Front

What are outputs in a function?

Back

Outputs are the y-values in a function, which are the results you get after applying the function to the inputs.

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 if a graph is not a function?

Back

A graph is not a function if there exists at least one input that corresponds to more than one output.

Front

What is a relation in mathematics?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the Vertical Line Test?

Back

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