Domain & Range From Graphs (KD)

Front

What is the definition of 'Domain' in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the definition of 'Range' in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from using the function.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers. The domain includes all x-values for which there is a corresponding y-value.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers. The range includes all y-values that correspond to the x-values in the domain.

Front

What is the domain of the function represented by the graph that spans from -3 to 3?

Back

The domain is (-3, 3].

Front

What is the range of the function that covers all real numbers?

Back

The range is (-∞, ∞).

Front

What is the range of the function that has outputs of -5, -1, 0, 1, and 5?

Back

The range is {-5, -1, 0, 1, 5}.

Front

What is a reasonable range for a function that represents a real-world situation with outputs between 0 and 25?

Back

All real numbers greater than or equal to 0 and less than or equal to 25.

Front

What is the range of a function that starts at -2 and goes to infinity?

Back

The range is [-2, ∞).

Front

What does the notation (-∞, ∞) represent?

Back

It represents all real numbers, indicating that there are no restrictions on the values of the function.