Is it a Function?

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 vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

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

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

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

Back

No, it is not a function because the input '1' is associated with two different outputs (2 and 3).

Front

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

Back

A relation is a function if every input is paired with exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x has a unique output.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1,2), (1,3)}, where the input '1' has two outputs.

Front

How do you find the domain of a function given a set of ordered pairs?

Back

To find the domain, list all the first elements (x-values) from each ordered pair.

Front

How do you find the range of a function given a set of ordered pairs?

Back

To find the range, list all the second elements (y-values) from each ordered pair.