The function g is defined and differentiable on the closed interval [−6,6] and satisfies g(0)=4. The graph of y=g′(x), the derivative of g, consists of a semicircle and three line segments, as shown in the figure below.(c) Find the x-coordinate of each critical point of g, where −6<x<6, and classify each critical point as the location of a relative minimum, relative maximum, or neither a minimum nor a maximum. Explain your reasoning. Get tutor helpSuppose that R(x) is a polynomlal of degree 9 whose coefficients are real numbers.Also, suppose that R(x) has the following zeros,−4,5,−1−5i,iAnswer the following:(a) Find another zero of R(x). (b) What is the maximum number of real zeros that R(x) can have?(c) What is the maximum number of nonreal zeros that R(x) can have? Get tutor help