the function $f$ is given by the graph below.\n\nstep 2 of 2: determine the value(s) of the local extrema…

the function $f$ is given by the graph below.\n\nstep 2 of 2: determine the value(s) 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.\n\nstep 2 of 2: determine the value(s) 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 local maximum point

Observe the graph for a peak where $y$ is highest locally. $$(x, y) = (0, 0)$$

Step2: Identify local minimum point

Observe the graph for a valley where $y$ is lowest locally. $$(x, y) = (1, -1)$$

Step3: Determine local extrema values

Extract the $y$-coordinates for the identified local maximum and minimum. $$\text{Local Maximum} = 0, \text{Local Minimum} = -1$$

Answer:

Local Maximum: 0 Local Minimum: -1