How do you solve this problem? Which is the right answer and why?

a. An absolute maximum

b. An absolute minimum

c. A critical point but not an extremum

d. Not a critical point

e. none of these

How do you solve this problem? Which is the right answer and why?

a. An absolute maximum

b. An absolute minimum

c. A critical point but not an extremum

d. Not a critical point

e. none of these

Tutors, please sign in to answer this question.

^{2}^{ }which is 0 at x = -2. Therefore this is a critical point. Notice that the derivative is positive everywhere else. Therefore this point is not an extremum. So the answer is c.

I agree with Roman using and his differentiation, however, this is not a Calculus question. From Algebra 1, f(x) is in the form of y = x^3 which passes through the point (0,0) and changes the instantaneous slope from positive to negative, it is a point of inflection.

As expressed f(x) = (x+2)^3 - 4 tells us the translation of the y = x^3 graph with its inflection point of (0,0) to a new inflection point of (-2,-4). **c.** a critical point but not an extremium

Peter L.

Peter- Great tutor for any science/math related subject/test prep

Palisades Park, NJ

4.8
(23 ratings)

David T.

Very Experienced, Knowledgeable, and Patient Math Tutor

Hastings On Hudson, NY

5.0
(93 ratings)

Chak W.

Experienced Mechanical Engineering, Science, and Math Tutor

Lodi, NJ

4.9
(204 ratings)