Please show all steps so i can understand, thanks in advance!

5) Sketch a possible function that satisfies the following criteria. Show work by explaining what each piece of given information means to the graph of the function f'(x) > 0 for xE (-0,2) and x E (2,5) f'(x) 0 for x E (2,4) and x E (7,00) Answer each of the following about this function. (a) Determine the open intervals on which the function increases and decreases. (b) Identify the x-values at the critical points of the function.. (c) Classify the critical points as relative maximums, relative minimums or neither. Explain how you made the decision. (d) Determine the x-values at the inflection points. ... (e) Sketch the graph of the function described