What is the Difference Between Domain and Range?

The domain and range of a function are two fundamental concepts in mathematics. The domain is the set of all values for which the function is defined, while the range is the set of all values that the function takes.

Here are the key differences between domain and range:

• Domain: The domain consists of the input values (x-values) for a function. It represents the set of values that can be plugged into the function without causing any issues, such as division by zero or other undefined operations.
• Range: The range consists of the output values (y-values) for a function. It represents the set of values that the function produces after processing the input values.

In summary, the domain is related to the input values and the range is related to the output values of a function. Understanding the domain and range of a function is crucial for analyzing and evaluating its behavior.

Comparative Table: Domain vs Range

The domain and range are essential components of a function. The domain represents the input values, while the range represents the output values generated by the function. Here is a table summarizing the differences between domain and range:

For example, if a function f is defined as f(x) = x^2, the domain would be all real numbers (-∞, ∞), and the range would be all non-negative real numbers [0, ∞).