Functions Flashcard

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

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 an example of a function?

Back

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

Front

What is a non-function?

Back

A relation where at least one input is associated with more than one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you tell if a table represents a function?

Back

Check if each x-value is unique; if any x-value repeats with different y-values, it is not a function.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is associated with exactly one input.