5.3: Domain of a Function

Front

What is the DOMAIN of a function?

Back

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

Front

What does x ≥ 0 represent in terms of domain?

Back

It indicates that the function is defined for all x-values greater than or equal to 0.

Front

What is the domain of the function represented by the interval (−2,3]?

Back

The domain includes all real numbers greater than -2 and up to and including 3.

Front

How do you express the domain of a function graphically?

Back

The domain can be expressed as an interval or set of values along the x-axis that the graph covers.

Front

What is the domain of the graph represented by -7 ≤ x < 5?

Back

The domain includes all x-values from -7 to just below 5.

Front

What does the set {-3, -2, -1, 0, 1, 2, 3} represent?

Back

It represents a discrete set of values that are included in the domain of a function.

Front

How do you determine the domain from a set of points?

Back

Identify all the x-values from the given points; these values form the domain.

Front

What is the domain of the function with points (2, 4), (5, 5), (8, 6), (11, 7)?

Back

The domain is {2, 5, 8, 11}.

Front

What does the notation [-2,3) mean for a domain?

Back

It means the domain includes all x-values from -2 to 3, including -2 but not including 3.

Front

What is the significance of the domain in a function?

Back

The domain determines the valid input values for the function, affecting its behavior and outputs.