Question

Use the graph of f to estimate the local maximum and local minimum. (5 points)

Answer 1

the one under the one you picked but im not 100% sure

Answer 2

Answer:

Local maximum: (0,1)  

Local minimum: $(-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)$

Step-by-step explanation:

To estimate the local maximum and local minimum using graph.

Local maximum: It is largest value of function for all other values of function near by.

Local minimum: It is smallest value of function for all other values of function near by.

A function has two extrema maxima or minima.

Please see the attachment for graph.

In graph highest point only 1, Only one local maximum at x=0

Local maximum: (0,1)

In graph two lowest point at $x=-\pi\text{ and }x=\dfrac{3\pi}{2}$

Local minimum: $(-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)$

Hence, Local maximum: (0,1) ; Local minimum: $(-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)$