Identify Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

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

Front

Given the set of points {(4,5), (3, 57), (1, 2), (0, 3)}, what is the domain?

Back

The domain is {4, 3, 1, 0}.

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

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

Back

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

Front

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

Back

Yes, because each input is associated with exactly one output.

Front

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

Back

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

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is exactly one y.

Front

What is an example of a non-function?

Back

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