Task 1. Interpret the following graph in detail:

Image of Graph


(I) Identify the turning points, zeros, and x-intercepts.

(ii) Do you find any point or zero which has a multiplicity in the graph? If so, specify them with multiplicity and explain the reason.

(iii) Identify the degree and the polynomial as well as identify the domain in which the polynomial is increasing and decreasing.

(iv) Do we have local maximum/minimum here? If yes, find them.

(v) Find the remainder when the polynomial is divided by x-4.