Functions, Domain and Range

Front

What symbol is used to indicate that a value is included in the domain or range?

Back

[ ]

Front

What test can be used to determine if a graph represents a function?

Back

Vertical Line Test

Front

Does the following graph represent a function? (Provide a graph showing a vertical line intersecting more than once)

Back

NO

Front

Is the relation a function? (x-value 11 has two y-values)

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is the domain in inequality notation for the interval (-4, 4)?

Back

-4 < x < 4

Front

What is the definition of a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is the range of a function?

Back

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

Front

What does the domain of a function represent?

Back

The set of all possible input values (x-values) for the function.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include endpoints (e.g., (a, b)), while closed intervals do (e.g., [a, b]).

Front

How can you determine the domain of a function from its graph?

Back

By identifying the x-values for which the function is defined.