I am stuck on part c of this question and am not 100% sure on a and b either. There is a table involved. It is attached.
a) What are the x-coordinates of all absolute maximum and absolute minimum points of on the interval . Justify your answer.
b)What are the x-coordinates of all points of inflection of on the interval ? Justify your answer.
c) Sketch a graph that satisfies the given properties of .
a-answer) i got for a maximum because the goes from negative y values to 0 back to negative y values. is this correct?
b-answer) point of inflections occurs when and thats and , I don't think there are any other points, correct?
c-answer) i could never figure out how to do that on MHF but i have seen other people do it. All my graphs don't seem to work, but from the chart i think there are 2 separate functions?
any help, especially with c would be greatly appreciated. Thanks.