Think you’ve got your head wrapped around **Second Derivatives and Beyond**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Which of the following functions has neither a global maximum or a global minimum?

Q. A continuous function on an open interval

must have a global max and a global min.

cannot have a global max or a global min.

may or may not have a global max and/or a global min.

must have a global max if it has a global min.

Q. Which of the following statements about the function *f *(*x*) = is correct?

Q. What is the global maximum of the function on the interval [-3,3]?

0

Q. Determine where the function *f *(*x*) = 4*x*^{4} + 2*x* is smallest on the interval [-2,2].

-2

2

Q. Which of the following could be the start of a graph of the function *f*(*x*) = *x**e*^{x}?

Q. Which of the following graphs could be a correct representation of all intercepts, critical points, and inflection points of the function *f*(*x*) = *x*^{2 – }3*x* – 4?

Q. If *f *' is positive and *f *" is negative, what shape is the function *f*?

Q. The function *f* looks like this:

Which of the following statements is true?

Q. The signs of the derivatives *f *' and *f *" are as follows: Use this information to fill in the graph of the function *f *: