The piecewise-defined function is defined as f(x) = 0 for -3 ≤ x < 0 and f(x) = 2 for 0 ≤ x < ∞.
The given piecewise-defined function can be described as follows:
f(x) = { ? if -3 ≤ x < ?
? if x ≥ ?
To determine the values for the missing parameters, let's analyze the provided coordinates (-1, 2), (2, 2), and (0, 0).
The points (-1, 2) and (2, 2) share the same y-value of 2, indicating a horizontal line segment. This segment exists for x-values between -3 and ? (where ? is yet to be determined), as suggested by the graph. Thus, we can fill in the first part of the function:
f(x) = { ? if -3 ≤ x < ?
2 if ? ≤ x < ∞
The third coordinate (0, 0) suggests that the function is zero at x = 0. Therefore, we can fill in the missing parameters:
f(x) = { 0 if -3 ≤ x < 0
2 if 0 ≤ x < ∞