Function (y/n), Domain, and Range Warmup

Front

What is a function?

Back

A function is a relation between a set of inputs (x-values) and a set of possible outputs (y-values) 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-coordinates) 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-coordinates) that the function can produce.

Front

What is the vertical line test?

Back

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

Front

How do you find the domain from a set of points?

Back

To find the domain from a set of points, list all the unique x-coordinates from those points.

Front

How do you find the range from a set of points?

Back

To find the range from a set of points, list all the unique y-coordinates from those points.

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

If a function has the points (1,2), (2,3), and (1,4), is it a function?

Back

No, it is not a function because the input 1 is associated with two different outputs (2 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each x-value has a unique y-value.

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.