Domain and Range from a graph Algebra 2

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 (x) 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 (y) that result 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 are corresponding y-values.

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 does it mean for a graph to be increasing?

Back

A graph is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if, as the x-values increase, the y-values decrease.

Front

What is the notation for expressing domain?

Back

Domain can be expressed using interval notation, such as [a, b) or (-∞, ∞).

Front

What is the notation for expressing range?

Back

Range can be expressed using interval notation, such as [c, d) or (-∞, ∞).

Front

How do you express the domain of a function that is defined for all real numbers?

Back

The domain of a function defined for all real numbers is expressed as (-∞, ∞).

Front

How do you express the range of a function that has a minimum value of 1?

Back

The range can be expressed as [1, ∞) if the function can take any value greater than or equal to 1.