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)