Domain and Range from a Graph

Front

What is the DOMAIN of a function?

Back

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

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the domain from a 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 from a graph?

Back

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

Front

What does it mean if a function has a domain of x > -3?

Back

The function is defined for all x-values greater than -3, not including -3.

Front

What does it mean if a function has a range of y ≤ 6?

Back

The function outputs values that are less than or equal to 6.

Front

What is the domain of the function represented by the graph that starts at -3 and ends at 2?

Back

-3 ≤ x < 2.

Front

What is the range of the function represented by the graph that goes from -7 to 2?

Back

-7 ≤ y ≤ 2.

Front

If a graph has a domain of -3 ≤ x ≤ 3, what does this indicate?

Back

The function is defined for x-values from -3 to 3, including both endpoints.

Front

What is an example of a function with a restricted domain?

Back

f(x) = √(x + 3) has a domain of x ≥ -3.