Is it a function?

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

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

Back

It means that at least one input has multiple outputs.

Front

What test do we use to determine if a graph represents a function?

Back

The vertical line test.

Front

What does it mean if a graph passes the vertical line test?

Back

It means that for every x-value, there is only one corresponding y-value.

Front

What is the horizontal line test used for?

Back

To determine if a function is one-to-one.

Front

What does it mean if a graph fails the vertical line test?

Back

It means that the graph does not represent a function.

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 an example of a function?

Back

f(x) = x^2 is a function because each input x has one output.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two different outputs.

Front

What is the domain of a function?

Back

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