Give the x-value where g(x) is not continuous? Identify the discontinuity and illustrate using limits. d Give the value of x=-5. Show supporting work. Give the value of g'(3.712). Include a reason for your answer. Identify an x-value where g(x) is not differentiable. Give a reason for your answer. Give the x-values where g'(x) = 0. Give the equation of the tangent line to g(x) at x = -5. Identify g'(5) as positive, negative, 0, or nonexistent. Give a reason for your answer. Give the value of g'(8). Find the average rate of change of g(x) over the interval [-3, 3.712]. Explain what this represents. (-6-1) (-3,7) (3.712.6) g(x) W (6.1.029) (0.571.0) (7.5,0) (-5,3) (6.-3)