which statement correctly identifies a local minimum of the graphed function? over the interval -3, -2, the…

which statement correctly identifies a local minimum of the graphed function? over the interval -3, -2, the local minimum is 0. over the interval -2, -1, the local minimum is 2.2 over the interval -1, 0.5, the local minimum is 1. over the interval 0.5, 2, the local minimum is 4.

which statement correctly identifies a local minimum of the graphed function? over the interval -3, -2, the local minimum is 0. over the interval -2, -1, the local minimum is 2.2 over the interval -1, 0.5, the local minimum is 1. over the interval 0.5, 2, the local minimum is 4.

Answer

Explanation:

Step1: Analyze interval [-3, -2]

The function value at $x=-2$ in this interval is $y = 0$. There are no lower - function values in this interval.

Step2: Analyze interval [-2, -1]

The function values in the interval $[-2,-1]$ range from the value at $x = - 2$ ($y = 0$) to the value at $x=-1.3$ ($y = 2.2$). The minimum value in this interval is $0$ (at $x=-2$), not $2.2$.

Step3: Analyze interval [-1, 0.5]

The function value at $x = 0$ is $y = 1$. There are no lower - function values in this interval.

Step4: Analyze interval [0.5, 2]

The function value at $x = 1$ is $y = 4$. But there are no lower - function values in this interval.

Answer:

Over the interval $[-3,-2]$, the local minimum is $0$.