Question

What is the domain and range?

А
Domain: (1, 3, 5, 7); Range: (2,5,2)
B
Domain: (2,5,6, 2); Range: (1,3,5,7)
С
Domain: (1, 3, 5, 7); Range: (2,5,6)
D
Domain: (2,5,6):Range: (1,3,5,7)

Answer 1

The correct representation for the domain and range is

`\[ \text{Domain: } (1, 3, 5, 7); \text{ Range: } (2, 5, 6) \]`. The correct option is C.

Step-by-step explanation:

In mathematics, the domain refers to the set of all possible input values for a function, while the range is the set of all possible output values. Looking at option C, the domain is given as (1, 3, 5, 7), representing the possible input values for the function.

Now, the range is provided as (2, 5, 6), indicating the possible output values corresponding to the given inputs. Each element in the domain is associated with a corresponding element in the range.

Contrastingly, other options do not correctly match the given sets of domain and range. For instance, option A has an incorrect range, option B has both incorrect domain and range, and option D incorrectly represents the range.

In conclusion, option C accurately represents the relationship between the domain and range for the given mathematical context. It's crucial to ensure that the pairs of values in the domain and range correspond correctly, reflecting the input-output relationship of the function. The correct option is C.

Answer 2

A. Domain: (1, 3, 5, 7); Range: (2, 5, 6) understanding the domain and range assists in comprehending the nature and limitations of the relationship between variables in a given function or relation.

Explanation:

The domain refers to the set of input values in a function or relation, while the range represents the set of output values. In the given scenario, the domain is the set of numbers (1, 3, 5, 7) that are input values, and the range comprises the output values (2, 5, 6).

The domain specifies all the possible independent variables, while the range illustrates the corresponding dependent variable values resulting from the function or relation. These values help understand the mapping or relationship between inputs and outputs.

It's essential to note that the domain may not necessarily contain all possible values of x, and the range might not encompass all potential values of y.

Therefore, A. Domain: (1, 3, 5, 7); Range: (2, 5, 6) understanding the domain and range assists in comprehending the nature and limitations of the relationship between variables in a given function or relation.