AA1 Warm Up Flashcard B - Domain and Range from Graphs

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 (usually x) that will not cause any undefined behavior in the function.

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 (usually y) that result from using the domain values in the function.

Front

What does it mean if the domain of a function is 'All real numbers'?

Back

It means that any real number can be used as an input for the function without causing any undefined behavior.

Front

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

Back

This indicates that x can take any value greater than -3 and up to and including 3.

Front

If a graph has a range of y ≥ 1, what does this indicate?

Back

This indicates that the output values (y) start from 1 and can go to positive infinity.

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals indicate that the endpoints are included in the set of values, meaning those values can be part of the domain or range.

Front

What is the significance of open intervals in domain and range?

Back

Open intervals indicate that the endpoints are not included in the set of values, meaning those values cannot be part of the domain or range.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify all the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify all the y-values that the graph covers.

Front

What does it mean if a function has a restricted domain?

Back

It means that there are specific values of x that cannot be used as inputs for the function.