A technical analyst is using the function $f(x) = \sqrt[3]{x - 2}$ to process input data in a diagnostic tool. Based on the mathematical properties of a radical function with an odd index, which of the following represents the domain of this function?

A logistics analyst uses the function $f(x) = \sqrt[3]{x - 2}$ to model efficiency adjustments based on a fluctuation variable $x$. Arrange the following input values ($x$) in the correct sequence so that their corresponding output efficiency scores ($y$) are ordered from lowest to highest.

A quality control specialist is using the function $f(x) = \sqrt[3]{x - 2}$ to calculate a performance index. True or False: Because the radical index is an odd number (3), the domain of this function is restricted to values of $x$ that are greater than or equal to 2.

A logistics coordinator at a shipping firm uses the function $f(x) = \sqrt[3]{x - 2}$ to model supply chain deviations. Because the radical index is an odd number, the graph of the function extends indefinitely in both vertical directions. In interval notation, the range of this function is ____.

A corporate data analyst is charting a continuous, S-shaped productivity curve defined by the radical function $f(x) = \sqrt[3]{x - 2}$, where $x$ represents the input metric. To properly graph this function across its $(-\infty, \infty)$ domain, the analyst purposefully selects input values that create perfect cubes under the radical. Match each selected input metric ($x$) to its corresponding evaluated output value.