Question

Use the graph of f to estimate the local maximum and local minimum. Local maximum: (0,1); local minimum: three pi over two, negative 1 and negative pi, negative 1 Local maximum: (0,0) and approx (0,1); local minimum: negative three pi over two, negative 1 Local maximum: (0,0); local minimum: three pi over two, negative 1 Local maximum: (0,1); local minimum: approx. (0,0) and three pi over two, negative 1

Answer 1

The answer is A.

Explanation:

Local maximums are whenever the graph reaches it's highest y value.

Local minimums are whenever the graph reaches it's lowest y value.

From the graph, we can see that the maximum y-value the graph reaches is y=1. And this happens when x=0.

This only happens once (from the graph shown). Thus, the local maximum would be:

`(0,1)`

The minimum values we can see from the graph is at y=-1. This happens twice from the graph, once at -π and again at 3π/2.

Thus, the local minimums are:

`(-\pi,-1), (3\pi/2,-1)`