Question

Identify the domain and range of the given data. Select the two correct answers.

A) Domain: {1, 2.00}
B) Domain: {1, 3.5, 5, 7.5, 9}
C) Range: {$2.00, $6.50, $7.00, $9.00, $12.50}
D) Range: {2.00, 6.50, 7.00, 9.00, 12.50}

Answer 1

The domain is the set of all input values, and the range is the set of all output values. In the given context, Option B represents the domain, and Option C represents the range, assuming these are based on the corresponding input and output values from the data.

Step-by-step explanation:

The domain of a function or data set is the set of all possible input values (independent variables), while the range refers to the set of all possible output values (dependent variables). When identifying the domain and range from a set of data, you look at the given x-values and y-values, respectively.

• Domain: The set of x values being input into the function.
• Range: The set of y values being output from the function.

Given the context where the domain represents discrete items or numbers, and the range represents corresponding values, we can determine the correct domain and range.

Identifying Correct Domain and Range

• Option B represents a domain because it consists of a set of numeric input values, which are the x values.
• Option C represents a range because it includes a set of numeric output values as prices, indicating that these are the y values.

The monetary symbol in Option C clarifies that these values are outputs regarding money, implying that they belong to the range. Therefore, without the original data, we assume these selections are based on the context given.