Question

which interval for the graphed function has a local minimum of 0?
-3,-2
-2,0
1,2
2,4
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57:19

Explanation:

Step1: Recall the definition of local minimum

A local minimum of a function is a point where the function has a lower value compared to its neighboring points in some interval.

Step2: Analyze the graph

Looking at the graph, we check the intervals. In the interval \([1,2]\), we observe the behavior of the function.

Step3: Identify the local minimum in the interval

By visual inspection of the graph (using the given points \((0,0)\), \((1, - 2)\), \((2,0)\) etc.), we can see that in the interval \([1,2]\) the function has a local minimum.

Answer:

\([1,2]\)