Answer:
Option (c) [–3, –1]
Step-by-step explanation:
In any interval,
If f(a) ≥ f(x) for all x in the interval, then it is Local maxima (hill) and,
If f(a) ≤ f(x) for all x in the interval, then it is Local minima (valley).
(as shown in the diagram)
Now, as clearly seen in the 2nd image, the local minimum is at point (-2,-6). And the interval which contains the local minimum is [-3,-1]. Hence, option (c) is correct.
