Question

Please answer this, describe the domain and range of the function below using inequality notations.

Options:
A) Domain: [ ]; Range: [ ]
B) Domain: { }; Range: { }
C) Domain: ( ); Range: ( )
D) Domain: x is a real number; Range: y is a real number

Answer 1

The domain of a function encompasses the permissible inputs and is shown using inequality notation. For a function where x is a real number within 0 <= x <= 20, the domain can be written as [0, 20]. The range typically depends on the function's outputs, but for a constant function, it would include a single value, denoted as [y, y].

Step-by-step explanation:

The domain and range of a function describe the set of possible input values (domain) and the set of possible output values (range). When describing these using inequality notation, one typically uses symbols like <, <=, >, and >= to denote the boundaries of the sets.

In the context provided, if we consider a function with a domain given as 0 ≤ x ≤ 20 (where x represents a real number), we can express the domain using square brackets to denote that the endpoints are included: Domain: [0, 20]. As for the range, if the function graph is a horizontal line, then it implies the output is constant. If the value of this constant function is not provided, typically one would need that information to describe the range explicitly. However, if we assume it has the same restrictions, we could describe a possible range with a single value y such that Range: [y, y], indicating that the function outputs the same y value for any input in its domain.