Identifying Functions

Front

What is the definition of a function?

Back

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

Front

Is the relation {(2, 3), (3, 4), (4, 5)} a function?

Back

Yes, it is a function.

Front

Which set of ordered pairs is not a function? {(1, 2), (1, 3), (2, 4)} or {(2, 3), (3, 4), (4, 5)}?

Back

{(1, 2), (1, 3), (2, 4)} is not a function because the input 1 has two different outputs.

Front

What is an example of a function?

Back

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

Front

Is the relation {(5, 6), (5, 7), (6, 8)} a function?

Back

No, it is not a function because the input 5 has two different outputs.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

If f(x) = x^2, what is f(3)?

Back

f(3) = 3^2 = 9.

Front

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

Back

A function is one-to-one if every output is produced by exactly one input.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values).