Identifying Functions

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

Yes, it is a function.

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

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

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

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.

f(3) = 3^2 = 9.

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

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

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