Be sure I can follow your calculus-based techniques. Use the following information to answer a-C. g(x) = 6x3+ 27x- - 180x a. State the domain of the function. Then solve for the critical number(s) (if any). b. Use the first derivative test to find the interval(s) on which the function is increasing decreasing and then find the coordinate pairs of any local extrema. c. Analytically find the interval(s) of concavity and inflection point(s) using the second derivative test. Finally, BY HAND sketch a graph of the function and label it with all values you found from parts a-c. Your graph does not need to be drawn to scale! (do NOT paste a graph from desmos here)