Question

Which interval for the graphed function has a local minimum of 0?

A) (1.2, 2.9)
B) [-3, -2]
C) (-2, 0)
D) [1, 2]

Answer 1

The interval for the graphed function that has a local minimum of 0 is option C. (-2, 0).

Step-by-step explanation:

The interval for the graphed function that has a local minimum of 0 is option C) (-2, 0).

To determine this, we need to analyze the graph of the function and identify the interval where the graph reaches its lowest point. Within the interval (-2, 0), the function has a local minimum of 0 because it is the lowest point in that range. To confirm this, we would need to verify that there are no lower points in any smaller intervals within (-2, 0).

In contrast, the other options (A, B, and D) do not meet the condition of having a local minimum of 0.