Functions, Domain and Range

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph 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) for which the function is defined.

Front

What is the range of a function?

Back

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

Front

How do you express the domain in interval notation?

Back

In interval notation, the domain is expressed using brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

How do you express the range in interval notation?

Back

In interval notation, the range is expressed using brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

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

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x value has a unique y value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What is the difference between domain and range?

Back

The domain refers to the set of input values (x), while the range refers to the set of output values (y) of a function.