which interval for the graphed function has a local minimum of 0? -3, -2 -2, 0 1, 2 2, 4

Answer:

D. [2, 4]

Explanation:

Step1: Understand local minimum

Local minimum is lowest - point in an interval.

Step2: Check interval [-3, -2]

Function value is negative in [-3, -2].

Step3: Check interval [-2, 0]

Lowest value is negative in [-2, 0].

Step4: Check interval [1, 2]

Function values are positive in [1, 2].

Step5: Check interval [2, 4]

At x = 3 (in [2, 4]), y = 0 which is local minimum.