Question

Use the graph to find the local minimum and the local maximum for the given function.

Answer 1

Answer:  The answer is -16, 4 and 3.

Step-by-step explanation:  We know the definitions of local maximum and local minimum for a particular function. They are together called extremum and are the largest and the smallest values of a function over a range or the entire domain.  

As shown in the graph, in interval [-3,0], the smallest value is -16 and hence it is the local minimum.

In interval [0,3], the largest value is 4, so it is local maximum and smallest value is -3, which is the local minimum.

Thus, the values are -16, 4 and -3.

Answer 2

The maximum and minimum are always the y-coordinates of the highest or lowest points.

On the interval [-3, 0] the minimum is -16.
On the interval [0, 3] the maximum is 3.75.
On the interval [0, 3] the minimum is -3.