Final answer:
Without the explicit function or additional information, it's not possible to determine which interval contains a local maximum.
Step-by-step explanation:
To determine which interval contains a local maximum for a function, we typically need either the function itself to calculate its derivatives or a graph to visually inspect it. The information provided does not give us a function or a graph, so we cannot accurately determine where a local maximum occurs based on it. The intervals mentioned (-3,-2), (-2,0), (0,1), and (1,2) would typically be analyzed by looking for changes in sign in the first derivative (indicating a local extremum) and determining if the second derivative is negative (confirming it's a local maximum if the first derivative is zero).
However, without the explicit function or additional information, we are unable to provide a concrete answer to which interval contains a local maximum. If we had the quadratic formula, relevant coefficients, or a graph, we could apply calculus or visual methods to solve the problem.