Domain and Range from Linear Graphs, Tables, and Ordered Pairs

Front

What is the definition of domain in 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 is the definition of range in a function?

Back

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

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 is the domain of the function defined by the set {-1, 1, 2, 4}?

Back

The domain is {-1, 1, 2, 4}.

Front

What is the range of the function defined by the set {0, 1, 2, 3, 4}?

Back

The range is {0, 1, 2, 3, 4}.

Front

What is the domain of the function defined by the interval [-6, 6]?

Back

The domain is all x-values such that -6 ≤ x ≤ 6.

Front

What is the range of the function defined by the interval [-3, 5]?

Back

The range is all y-values such that -3 < y ≤ 5.

Front

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

Back

A restricted domain means that not all x-values are allowed; certain values are excluded due to the nature of the function.

Front

What is the difference between a discrete and continuous domain?

Back

A discrete domain consists of distinct, separate values (like integers), while a continuous domain includes all values within a certain interval.