For the following exercises, use a graphing utility to estimate the local extrema of each function and to estimate the intervals on which the function is increasing and decreasing k(t)= 3t^2/3 - t

Point (0,0) is a local minimum and point (8,4) is a local maximum.

The function is incrasing for all

The function is decreasing for all

Step-by-step explanation:

Plot the graph of the function (see attached diagram for details).

A local extremum is a local maximum or a local minimum.

From the graph of the function, you can see that point (0,0) is a local minimum and point (8,4) is a local maximum.

The function is incrasing for all

The function is decreasing for all

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.