the function $f$ is given by the graph below.\nstep 2 of 2: determine the values of the local extrema you…

the function $f$ is given by the graph below.\nstep 2 of 2: determine the values of the local extrema you identified in the previous step. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

the function $f$ is given by the graph below.\nstep 2 of 2: determine the values of the local extrema you identified in the previous step. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

Answer

Explanation:

Step1: Identify the local minimum point

Observe the lowest point of the parabola on the graph.

Step2: Determine the coordinates of the vertex

The vertex is located at the point $(-2, 2)$.

Step3: Extract the local minimum value

The local minimum value is the $y$-coordinate of the vertex. $$y = 2$$

Step4: Identify local maximum values

The graph is an upward-opening parabola with no peaks. $$Local\ Maximum = DNE$$

Answer:

Local Minimum: 2 Local Maximum: DNE