Final answer:
The determination of a function with a range of {-1, 0, 2} requires more information about the relationship between input and output values, as multiple functions could produce this range under different conditions.
Step-by-step explanation:
To determine the function of x that has an appearance range of {-1, 0, 2}, we must consider functions that only produce these values as outputs, regardless of the input values of x.
One example would be a piecewise function which specifies output values of -1, 0, and 2 for different intervals of x. However, without additional information on the relationship between input values and the given range, we cannot specify a unique function. More context would be needed to provide a definitive function that matches this appearance range.
In order to determine which function has an appearance range of {-1, 0, 2}, we need to find a function that takes those values as outputs. Let's consider the function f(x) = x² - 3x + 2. Evaluating this function for x = -1, 0, and 2, we get f(-1) = (-1)² - 3(-1) + 2 = 1 + 3 + 2 = 6, f(0) = (0)² - 3(0) + 2 = 2, and f(2) = (2)² - 3(2) + 2 = 4 - 6 + 2 = 0. So, the function f(x) = x² - 3x + 2 has an appearance range of {-1, 0, 2}.