D. (-2, 2) - only interval where graph dips below axis, making values negative.
The graph you sent me shows a polynomial function with its roots at -2 and 2. Between these two roots, the graph dips below the x-axis, making it negative. Therefore, the only negative interval of the graph is (-2, 2).
Here's a breakdown of why the other answer choices are incorrect:
(-2, ∞): This interval extends infinitely to the right, but the graph only stays negative between -2 and 2.
(2, ∞): Similar to the previous option, this interval only considers the positive side of the x-axis where the graph is positive.
(0, 2): The graph is positive between 0 and 2.
Therefore, only (-2, 2)captures the entire section of the graph where the function's output is negative, making it the correct answer.