Use the first derivative test to locate the relative extrema of the function in the given domain, and determine the intervals of g(x) = x³ 12x with domain [-4, 4] (a) Find the coordinates of the critical points and endpoints for the following function on the given interval. (Order your answers so the x-coordinates are in order from least to greatest.) - g has an end point at (x, y) = g has a critical point at (x, y) = g has a critical point at (x, y) = ( g has an end point (b) List the intervals on which f is increasing or decreasing, in order. g is increasing ✔ on the interval g is decreasing on the interval g is increasing on the intervall ✓ ✓ ✔at (x, y) = (c) Classify the critical points and end points. (Order your answers so the x-coordinates are in order from least to greatest.) g has a relative minimum ✔✔✔ at (x, y) = v g has a relative maximum v ✓at (x, y) = g has a relative minimum✔✔ at (x, y) = | g has a relative maximum at (x, y)= ( Submit Answer v