Question

Use the given graph of the function on the interval (0,8] to answer the following questions:
Where does the function f have a local maximum?
Where does the function f have a local minimum?
What is the global maximum of f ?
What is the global minimum of ?
https://kiva.math.nau.edu/webwork2_course_files/CLouchart_136/tmp/gif/kmd329-1169-setHomework_10prob1image1.png

Answer 1

Local maximum are the places where your derivative is 0 and the parabola faces down, local minimum is the opposite, the derivative is 0 parabola faces up.

Global maximum and minimum are the highest and lowest values of the function on the interval.

So on your graph you have a local maximum on x = 3, and a global minimum on x = 6. I don't know about the dislocated point on x =2, sorry.

Answer 2

Its ok thanks anyway :)