Function or Not a Function

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 Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, because each input has a unique output.

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the input '1' has two different outputs (2 and 3).

Front

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

Back

It means that at least one input corresponds to multiple outputs.

Front

Give an example of a function.

Back

An example of a function is f(x) = 2x + 3.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Back

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