Which points are the best approximations of the relative maximum and minimum of the function? f(x)=x3+6x2−36x ( ) = 3 + 6 2 − 36 (1 point) Responses The relative maximum is about (-6,40) and the relative minimum is about (2, -216) The relative maximum is about (-6,40) and the relative minimum is about (2, -216) The relative maximum is about (6,216) and the relative minimum is about (-2, -40) The relative maximum is about (6,216) and the relative minimum is about (-2, -40) The relative maximum is about (6, 40) and the relative minimum is about (-2, -216) The relative maximum is about (6, 40) and the relative minimum is about (-2, -216) The relative maximum is about (-6,216) and the relative minimum is about (2, -40)
The correct answer is:
The relative maximum is about (-6,40) and the relative minimum is about (2, -216)