Domain And Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

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

Back

Identify the x-values for which the graph has points. Exclude any x-values where the graph does not exist.

Front

How do you determine the range of a function from its graph?

Back

Identify the y-values that the graph reaches. Exclude any y-values that the graph does not touch.

Front

What does an open circle on a graph indicate about the domain?

Back

It indicates that the endpoint is not included in the domain (e.g., x > -3).

Front

What does a closed circle on a graph indicate about the domain?

Back

It indicates that the endpoint is included in the domain (e.g., x ≥ -3).

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

If a function has a domain of {x | x > 2}, what does this mean?

Back

The function is defined for all x-values greater than 2.

Front

If a function has a range of {y | y ≤ 5}, what does this mean?

Back

The function can produce all y-values less than or equal to 5.