Linear#2 Domain and Range

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

Given the relation {(3, 5), (3, 7), (0, 5), (0, 3)}, what is the domain?

Back

The domain is {0, 3}.

Front

Given the relation {(3, 5), (3, 7), (0, 5), (0, 3)}, what is the range?

Back

The range is {3, 5, 7}.

Front

What does it mean if a relation has a domain of {3, 7} and a range of {0, 5}?

Back

It means that the input values can only be 3 or 7, and the output values can only be 0 or 5.

Front

How do you represent the domain of a function graphically?

Back

The domain can be represented on the x-axis of a graph, showing all the x-values for which the function is defined.

Front

How do you represent the range of a function graphically?

Back

The range can be represented on the y-axis of a graph, showing all the y-values that the function can output.

Front

What is the domain of the function defined by the equation y = 2x + 3?

Back

The domain is all real numbers, or (-∞, ∞).

Front

What is the range of the function defined by the equation y = 2x + 3?

Back

The range is also all real numbers, or (-∞, ∞).

Front

If a function has a domain of {1, 2, 3, 4}, what can you say about its range?

Back

The range can vary depending on the function, but it will consist of the output values corresponding to the inputs 1, 2, 3, and 4.