Domain and Range

Front

What is the definition of 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 is the definition of the range of 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 of a given relation?

Back

To determine the domain, identify all the x-values that are included in the relation.

Front

How do you determine the range of a given relation?

Back

To determine the range, identify all the y-values that are produced by the relation.

Front

What is the domain of the relation: {-4, -1, 0, 2, 7}?

Back

The domain is the set of x-values: {-4, -1, 0, 2, 7}.

Front

What is the range of the relation: y ≤ 6?

Back

The range includes all y-values that are less than or equal to 6.

Front

What are the common notations used to represent the domain of a function?

Back

Common notations include interval notation (e.g., (-∞, 5]) and set notation (e.g., {x | x < 5}).

Front

What are the common notations used to represent the range of a function?

Back

Common notations include interval notation (e.g., [0, ∞)) and set notation (e.g., {y | y ≥ 0}).

Front

What is the significance of identifying the domain and range in real-world applications?

Back

Identifying the domain and range helps to understand the limitations and possible outputs of a function in real-world scenarios.

Front

Can the domain of a function be infinite?

Back

Yes, the domain of a function can be infinite, such as all real numbers or specific intervals.